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Seshadri stratification for Schubert varieties and standard monomial theory

Proceedings - Mathematical Sciences
2022-12-15 | Journal article
Contributors: Rocco Chirivì; Xin Fang; Peter Littelmann
Source: check_circle
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C.S. Seshadri (1932--2020)

Notices Amer. Math. Soc.
2021 | Journal article
Part of ISSN: 0002-9920
Contributors: Balaji, Vikraman; Haboush, William; Lakshmibai, Venkatramani; Littelmann, Peter; Mumford, David
Source: Self-asserted source
Peter Littelmann

Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits

Bull. Lond. Math. Soc.
2018 | Journal article
Part of ISSN: 0024-6093
Contributors: Fang, Xin; Littelmann, Peter; Pabiniak, Milena
Source: Self-asserted source
Peter Littelmann

Essential bases and toric degenerations arising from birational sequences

Adv. Math.
2017 | Journal article
Part of ISSN: 0001-8708
Contributors: Fang, Xin; Fourier, Ghislain; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann
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Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations

Transform. Groups
2017 | Journal article
Part of ISSN: 1083-4362
Contributors: Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies

Trans. Moscow Math. Soc.
2017 | Journal article
Part of ISSN: 0077-1554
Contributors: Fang, X.; Littelmann, P.
Source: Self-asserted source
Peter Littelmann

On toric degenerations of flag varieties

Representation theory---current trends and perspectives
2017 | Book chapter
Contributors: Fang, Xin; Fourier, Ghislain; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Degenerate flag varieties and Schubert varieties: a characteristic free approach

Pacific J. Math.
2016 | Journal article
Part of ISSN: 0030-8730
Contributors: Cerulli Irelli, Giovanni; Lanini, Martina; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Fusion products and toroidal algebras

Pacific J. Math.
2015 | Journal article
Part of ISSN: 0030-8730
Contributors: Kus, Deniz; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Symplectic degenerate flag varieties

Canad. J. Math.
2014 | Journal article
Part of ISSN: 0008-414X
Contributors: Feigin, Evgeny; Finkelberg, Michael; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Knuth relations, tableaux and MV-cycles

J. Ramanujan Math. Soc.
2013 | Journal article
Part of ISSN: 0970-1249
Contributors: Gaussent, Stéphane; Littelmann, Peter; Nguyen, An Hoa
Source: Self-asserted source
Peter Littelmann

PBW-filtration over $\Bbb Z$ and compatible bases for $V_\Bbb Z(λ)$ in type \tt A$_n$ and \tt C$_n$

Symmetries, integrable systems and representations
2013 | Book chapter
Contributors: Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

One-skeleton galleries, the path model, and a generalization of Macdonald's formula for Hall-Littlewood polynomials

Int. Math. Res. Not. IMRN
2012 | Journal article
Part of ISSN: 1073-7928
Contributors: Gaussent, Stéphane; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

PBW filtration and bases for irreducible modules in type $ßf A_n$

Transform. Groups
2011 | Journal article
Part of ISSN: 1083-4362
Contributors: Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

PBW filtration and bases for symplectic Lie algebras

Int. Math. Res. Not. IMRN
2011 | Journal article
Part of ISSN: 1073-7928
Contributors: Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Zhu's algebras, $C_2$-algebras and abelian radicals

J. Algebra
2011 | Journal article
Part of ISSN: 0021-8693
Contributors: Feigin, Boris; Feigin, Evgeny; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Zhu's algebra and the $C_2$-algebra in the symplectic and the orthogonal cases

J. Phys. A
2010 | Journal article
Part of ISSN: 1751-8113
Contributors: Feigin, Evgeny; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Equations defining symmetric varieties and affine Grassmannians

Int. Math. Res. Not. IMRN
2009 | Journal article
Part of ISSN: 1073-7928
Contributors: Chiriv̀ı , Rocco; Littelmann, Peter; Maffei, Andrea
Source: Self-asserted source
Peter Littelmann

Superbosonization of invariant random matrix ensembles

Comm. Math. Phys.
2008 | Journal article
Part of ISSN: 0010-3616
Contributors: Littelmann, P.; Sommers, H.-J.; Zirnbauer, M. R.
Source: Self-asserted source
Peter Littelmann

Über Horns Vermutung, Geometrie, Kombinatorik und Darstellungstheorie

Jahresber. Deutsch. Math.-Verein.
2008 | Journal article
Part of ISSN: 0012-0456
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Special issue in honour of Ernest Borisovich Vinberg

J. Algebra
2007 | Journal article
Part of ISSN: 0021-8693
Contributors: Kac, Victor; Kellerhals, Ruth; Knop, Friedrich; Littelmann, Peter; Panyushev, Dmitri
Source: Self-asserted source
Peter Littelmann

Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions

Adv. Math.
2007 | Journal article
Part of ISSN: 0001-8708
Contributors: Fourier, G.; Littelmann, P.
Source: Self-asserted source
Peter Littelmann

Tensor product structure of affine Demazure modules and limit constructions

Nagoya Math. J.
2006 | Journal article
Part of ISSN: 0027-7630
Contributors: Fourier, G.; Littelmann, P.
Source: Self-asserted source
Peter Littelmann

LS galleries, the path model, and MV cycles

Duke Math. J.
2005 | Journal article
Part of ISSN: 0012-7094
Contributors: Gaussent, S.; Littelmann, P.
Source: Self-asserted source
Peter Littelmann

Adapted algebras and standard monomials

J. Pure Appl. Algebra
2004 | Journal article
Part of ISSN: 0022-4049
Contributors: Caldero, P.; Littelmann, P.
Source: Self-asserted source
Peter Littelmann

A Pieri-Chevalley type formula for $K(G/B)$ and standard monomial theory

Studies in memory of Issai Schur (Chevaleret/Rehovot, 2000)
2003 | Book chapter
Contributors: Littelmann, P.; Seshadri, C. S.
Source: Self-asserted source
Peter Littelmann

Bases for representations, LS-paths and Verma flags

A tribute to C. S. Seshadri (Chennai, 2002)
2003 | Book chapter
Contributors: Littelmann, P.
Source: Self-asserted source
Peter Littelmann

Richardson varieties and equivariant $K$-theory

J. Algebra
2003 | Book chapter
Part of ISSN: 0021-8693
Contributors: Lakshmibai, V.; Littelmann, P.
Source: Self-asserted source
Peter Littelmann

Algebraization of Frobenius splitting via quantum groups

Ann. of Math. (2)
2002 | Journal article
Part of ISSN: 0003-486X
Contributors: Kumar, Shrawan; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Standard monomial theory for Bott-Samelson varieties

Compositio Math.
2002 | Journal article
Part of ISSN: 0010-437X
Contributors: Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
Source: Self-asserted source
Peter Littelmann

Frobenius splitting in characteristic zero and the quantum Frobenius map

J. Pure Appl. Algebra
2000 | Book chapter
Part of ISSN: 0022-4049
Contributors: Kumar, Shrawan; Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Bases canoniques et applications

Astérisque
1998 | Book chapter
Part of ISSN: 0303-1179
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Cones, crystals, and patterns

Transform. Groups
1998 | Journal article
Part of ISSN: 1083-4362
Contributors: Littelmann, P.
Source: Self-asserted source
Peter Littelmann

Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras

J. Amer. Math. Soc.
1998 | Journal article
Part of ISSN: 0894-0347
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Standard monomial theory and applications

Representation theories and algebraic geometry (Montreal, PQ, 1997)
1998 | Book chapter
Contributors: Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
Source: Self-asserted source
Peter Littelmann

The path model, the quantum Frobenius map and standard monomial theory

Algebraic groups and their representations (Cambridge, 1997)
1998 | Book chapter
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

An algorithm to compute bases and representation matrices for $̊m SL_n+1$-representations

J. Pure Appl. Algebra
1997 | Book chapter
Part of ISSN: 0022-4049
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Characters of representations and paths in $\germ H^*_\bold R$

Representation theory and automorphic forms (Edinburgh, 1996)
1997 | Book chapter
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

A plactic algebra for semisimple Lie algebras

Adv. Math.
1996 | Journal article
Part of ISSN: 0001-8708
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

An effective method to classify nilpotent orbits

Algorithms in algebraic geometry and applications (Santander, 1994)
1996 | Book chapter
Contributors: Littelmann, P.
Source: Self-asserted source
Peter Littelmann

Crystal graphs and Young tableaux

J. Algebra
1995 | Journal article
Part of ISSN: 0021-8693
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Paths and root operators in representation theory

Ann. of Math. (2)
1995 | Journal article
Part of ISSN: 0003-486X
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

The path model for representations of symmetrizable Kac-Moody algebras

Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)
1995 | Conference paper
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras

Invent. Math.
1994 | Journal article
Part of ISSN: 0020-9910
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

On spherical double cones

J. Algebra
1994 | Journal article
Part of ISSN: 0021-8693
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Good filtrations and decomposition rules for representations with standard monomial theory

J. Reine Angew. Math.
1992 | Journal article
Part of ISSN: 0075-4102
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Good filtrations, decomposition rules and standard monomial theory

Computational aspects of Lie group representations and related topics (Amsterdam, 1990)
1991 | Book chapter
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

A generalization of the Littlewood-Richardson rule

J. Algebra
1990 | Journal article
Part of ISSN: 0021-8693
Contributors: Littelmann, Peter
Source: Self-asserted source
Peter Littelmann

Equivariant cohomology of wonderful compactifications

Operator algebras, unitary representations, enveloping algebras, and invariant theory (Paris, 1989)
1990 | Book chapter
Contributors: Littelmann, Peter; Procesi, Claudio
Source: Self-asserted source
Peter Littelmann

On the Poincaré series of the invariants of binary forms

J. Algebra
1990 | Journal article
Part of ISSN: 0021-8693
Contributors: Littelmann, P.; Procesi, C.
Source: Self-asserted source
Peter Littelmann
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