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Littelmann, Peter

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Author ID: littelmann.peter Recent zbMATH articles by "Littelmann, Peter"
Published as: Littelmann, P.; Littelmann, Peter
Documents Indexed: 56 Publications since 1987, including 1 Book
Reviewing Activity: 6 Reviews

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 1,053 times in 611 Documents Cited by Year
Paths and root operators in representation theory. Zbl 0858.17023
Littelmann, Peter
141
1995
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras. Zbl 0805.17019
Littelmann, Peter
138
1994
Cones, crystals, and patterns. Zbl 0908.17010
Littelmann, P.
82
1998
Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions. Zbl 1114.22010
Fourier, G.; Littelmann, P.
75
2007
A plactic algebra for semisimple Lie algebras. Zbl 0892.17009
Littelmann, Peter
43
1996
LS galleries, the path model, and MV cycles. Zbl 1078.22007
Gaussent, S.; Littelmann, P.
42
2005
PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\). Zbl 1237.17011
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
40
2011
On spherical double cones. Zbl 0823.20040
Littelmann, Peter
37
1994
A generalization of the Littlewood-Richardson rule. Zbl 0704.20033
Littelmann, Peter
37
1990
Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras. Zbl 0915.20022
Littelmann, Peter
34
1998
Tensor product structure of affine Demazure modules and limit constructions. Zbl 1143.22010
Fourier, G.; Littelmann, P.
33
2006
Crystal graphs and Young tableaux. Zbl 0831.17004
Littelmann, Peter
32
1995
PBW filtration and bases for symplectic Lie algebras. Zbl 1233.17007
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
24
2011
Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations. Zbl 06793800
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
20
2017
Standard monomial theory and applications. Zbl 1013.17014
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
20
1998
Superbosonization of invariant random matrix ensembles. Zbl 1156.82008
Littelmann, P.; Sommers, H.-J.; Zirnbauer, M. R.
18
2008
Koreguläre und äquidimensionale Darstellungen. (Coregular and equidimensional representations). Zbl 0688.14042
Littelmann, Peter
18
1989
Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
16
2002
The path model, the quantum Frobenius map and standard monomial theory. Zbl 0938.14031
Littelmann, Peter
16
1998
Symplectic degenerate flag varieties. Zbl 1316.14095
Feigin, Evgeny; Finkelberg, Michael; Littelmann, Peter
14
2014
Characters of representations and paths in \({\mathfrak H}_\mathbb{R}^*\). Zbl 0892.17010
Littelmann, Peter
13
1997
Degenerate flag varieties and Schubert varieties: a characteristic free approach. Zbl 1433.17008
Cerulli Irelli, Giovanni; Lanini, Martina; Littelmann, Peter
12
2016
Equivariant cohomology of wonderful compactifications. Zbl 0741.14029
Littelmann, Peter; Procesi, Claudio
12
1990
Essential bases and toric degenerations arising from birational sequences. Zbl 1453.17005
Fang, Xin; Fourier, Ghislain; Littelmann, Peter
10
2017
PBW-filtration over \(\mathbb Z\) and compatible bases for \(V_{\mathbb Z}(\lambda)\) in type \(\mathsf{A}_n\) and \(\mathsf{C}_n\). Zbl 1323.17011
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
10
2013
Richardson varieties and equivariant \(K\)-theory. Zbl 1071.14049
Lakshmibai, V.; Littelmann, P.
10
2003
Algebraization of Frobenius splitting via quantum groups. Zbl 1078.14074
Kumar, Shrawan; Littelmann, Peter
10
2002
The path model for representations of symmetrizable Kac-Moody algebras. Zbl 0848.17021
Littelmann, Peter
10
1995
An algorithm to compute bases and representation matrices for \(\text{SL}_{n+1}\)-representations. Zbl 0973.17008
Littelmann, Peter
9
1997
Der Grad erzeugender Funktionen von Invariantenringen. (The degree of generating functions of rings of invariants). Zbl 0635.20017
Knop, Friedrich; Littelmann, Peter
9
1987
On the Poincaré series of the invariants of binary forms. Zbl 0726.20029
Littelmann, P.; Procesi, C.
8
1990
On toric degenerations of flag varieties. Zbl 1369.14062
Fang, Xin; Fourier, Ghislain; Littelmann, Peter
7
2017
Equations defining symmetric varieties and affine Grassmannians. Zbl 1162.14036
Chirivì, Rocco; Littelmann, Peter; Maffei, Andrea
6
2009
Fusion products and toroidal algebras. Zbl 1381.17014
Kus, Deniz; Littelmann, Peter
5
2015
Zhu’s algebras, \(C_{2}\)-algebras and abelian radicals. Zbl 1292.17024
Feigin, Boris; Feigin, Evgeny; Littelmann, Peter
5
2011
A Pieri-Chevalley type formula for \(K(G/B)\) and standard monomial theory. Zbl 1100.14526
Littelmann, P.; Seshadri, C. S.
5
2003
Frobenius splitting in characteristic zero and the quantum Frobenius map. Zbl 0977.17008
Kumar, Shrawan; Littelmann, Peter
5
2000
One-skeleton galleries, the path model, and a generalization of Macdonald’s formula for Hall-Littlewood polynomials. Zbl 1244.05226
Gaussent, Stéphane; Littelmann, Peter
4
2012
Zhu’s algebra and the \(C_2\)-algebra in the symplectic and the orthogonal cases. Zbl 1214.81243
Feigin, Evgeny; Littelmann, Peter
4
2010
An effective method to classify nilpotent orbits. Zbl 0866.20037
Littelmann, P.
4
1996
Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits. Zbl 1390.53083
Fang, Xin; Littelmann, Peter; Pabiniak, Milena
3
2018
Knuth relations, tableaux and MV-cycles. Zbl 1364.14039
Gaussent, Stéphane; Littelmann, Peter; Nguyen, An Hoa
2
2013
Bases for representations, LS-paths and Verma flags. Zbl 1106.17003
Littelmann, P.
2
2003
Canonical bases and applications. Zbl 0966.17009
Littelmann, Peter
2
1998
Good filtrations and decomposition rules for representations with standard monomial theory. Zbl 0755.20009
Littelmann, Peter
2
1992
A Littlewood-Richardson rule for classical groups. Zbl 0712.20030
Littelmann, Peter
2
1988
From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies. Zbl 1397.14065
Fang, Xin; Littelmann, Peter
1
2017
Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zbl 1357.14004
Krause, Henning (ed.); Littelmann, Peter (ed.); Malle, Gunter (ed.); Neeb, Karl-Hermann (ed.); Schweigert, Christoph (ed.)
1
2017
Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits. Zbl 1390.53083
Fang, Xin; Littelmann, Peter; Pabiniak, Milena
3
2018
Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations. Zbl 06793800
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
20
2017
Essential bases and toric degenerations arising from birational sequences. Zbl 1453.17005
Fang, Xin; Fourier, Ghislain; Littelmann, Peter
10
2017
On toric degenerations of flag varieties. Zbl 1369.14062
Fang, Xin; Fourier, Ghislain; Littelmann, Peter
7
2017
From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies. Zbl 1397.14065
Fang, Xin; Littelmann, Peter
1
2017
Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zbl 1357.14004
Krause, Henning (ed.); Littelmann, Peter (ed.); Malle, Gunter (ed.); Neeb, Karl-Hermann (ed.); Schweigert, Christoph (ed.)
1
2017
Degenerate flag varieties and Schubert varieties: a characteristic free approach. Zbl 1433.17008
Cerulli Irelli, Giovanni; Lanini, Martina; Littelmann, Peter
12
2016
Fusion products and toroidal algebras. Zbl 1381.17014
Kus, Deniz; Littelmann, Peter
5
2015
Symplectic degenerate flag varieties. Zbl 1316.14095
Feigin, Evgeny; Finkelberg, Michael; Littelmann, Peter
14
2014
PBW-filtration over \(\mathbb Z\) and compatible bases for \(V_{\mathbb Z}(\lambda)\) in type \(\mathsf{A}_n\) and \(\mathsf{C}_n\). Zbl 1323.17011
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
10
2013
Knuth relations, tableaux and MV-cycles. Zbl 1364.14039
Gaussent, Stéphane; Littelmann, Peter; Nguyen, An Hoa
2
2013
One-skeleton galleries, the path model, and a generalization of Macdonald’s formula for Hall-Littlewood polynomials. Zbl 1244.05226
Gaussent, Stéphane; Littelmann, Peter
4
2012
PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\). Zbl 1237.17011
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
40
2011
PBW filtration and bases for symplectic Lie algebras. Zbl 1233.17007
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter
24
2011
Zhu’s algebras, \(C_{2}\)-algebras and abelian radicals. Zbl 1292.17024
Feigin, Boris; Feigin, Evgeny; Littelmann, Peter
5
2011
Zhu’s algebra and the \(C_2\)-algebra in the symplectic and the orthogonal cases. Zbl 1214.81243
Feigin, Evgeny; Littelmann, Peter
4
2010
Equations defining symmetric varieties and affine Grassmannians. Zbl 1162.14036
Chirivì, Rocco; Littelmann, Peter; Maffei, Andrea
6
2009
Superbosonization of invariant random matrix ensembles. Zbl 1156.82008
Littelmann, P.; Sommers, H.-J.; Zirnbauer, M. R.
18
2008
Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions. Zbl 1114.22010
Fourier, G.; Littelmann, P.
75
2007
Tensor product structure of affine Demazure modules and limit constructions. Zbl 1143.22010
Fourier, G.; Littelmann, P.
33
2006
LS galleries, the path model, and MV cycles. Zbl 1078.22007
Gaussent, S.; Littelmann, P.
42
2005
Richardson varieties and equivariant \(K\)-theory. Zbl 1071.14049
Lakshmibai, V.; Littelmann, P.
10
2003
A Pieri-Chevalley type formula for \(K(G/B)\) and standard monomial theory. Zbl 1100.14526
Littelmann, P.; Seshadri, C. S.
5
2003
Bases for representations, LS-paths and Verma flags. Zbl 1106.17003
Littelmann, P.
2
2003
Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
16
2002
Algebraization of Frobenius splitting via quantum groups. Zbl 1078.14074
Kumar, Shrawan; Littelmann, Peter
10
2002
Frobenius splitting in characteristic zero and the quantum Frobenius map. Zbl 0977.17008
Kumar, Shrawan; Littelmann, Peter
5
2000
Cones, crystals, and patterns. Zbl 0908.17010
Littelmann, P.
82
1998
Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras. Zbl 0915.20022
Littelmann, Peter
34
1998
Standard monomial theory and applications. Zbl 1013.17014
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
20
1998
The path model, the quantum Frobenius map and standard monomial theory. Zbl 0938.14031
Littelmann, Peter
16
1998
Canonical bases and applications. Zbl 0966.17009
Littelmann, Peter
2
1998
Characters of representations and paths in \({\mathfrak H}_\mathbb{R}^*\). Zbl 0892.17010
Littelmann, Peter
13
1997
An algorithm to compute bases and representation matrices for \(\text{SL}_{n+1}\)-representations. Zbl 0973.17008
Littelmann, Peter
9
1997
A plactic algebra for semisimple Lie algebras. Zbl 0892.17009
Littelmann, Peter
43
1996
An effective method to classify nilpotent orbits. Zbl 0866.20037
Littelmann, P.
4
1996
Paths and root operators in representation theory. Zbl 0858.17023
Littelmann, Peter
141
1995
Crystal graphs and Young tableaux. Zbl 0831.17004
Littelmann, Peter
32
1995
The path model for representations of symmetrizable Kac-Moody algebras. Zbl 0848.17021
Littelmann, Peter
10
1995
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras. Zbl 0805.17019
Littelmann, Peter
138
1994
On spherical double cones. Zbl 0823.20040
Littelmann, Peter
37
1994
Good filtrations and decomposition rules for representations with standard monomial theory. Zbl 0755.20009
Littelmann, Peter
2
1992
A generalization of the Littlewood-Richardson rule. Zbl 0704.20033
Littelmann, Peter
37
1990
Equivariant cohomology of wonderful compactifications. Zbl 0741.14029
Littelmann, Peter; Procesi, Claudio
12
1990
On the Poincaré series of the invariants of binary forms. Zbl 0726.20029
Littelmann, P.; Procesi, C.
8
1990
Koreguläre und äquidimensionale Darstellungen. (Coregular and equidimensional representations). Zbl 0688.14042
Littelmann, Peter
18
1989
A Littlewood-Richardson rule for classical groups. Zbl 0712.20030
Littelmann, Peter
2
1988
Der Grad erzeugender Funktionen von Invariantenringen. (The degree of generating functions of rings of invariants). Zbl 0635.20017
Knop, Friedrich; Littelmann, Peter
9
1987
all top 5

Cited by 529 Authors

28 Fourier, Ghislain
22 Feigin, Evgeny
21 Chari, Vyjayanthi
19 Naito, Satoshi
19 Sagaki, Daisuke
16 Littelmann, Peter
13 Lenart, Cristian
11 Fang, Xin
11 Shin, Dong-Uy
9 Kamnitzer, Joel
9 Kim, Jeong-Ah
9 Kus, Deniz
9 Schilling, Anne
8 Kieburg, Mario
8 Panyushev, Dmitri Ivanovich
8 Raghavan, Komaranapuram N.
8 Scrimshaw, Travis
7 Brion, Michel
7 Chirivì, Rocco
7 Greenstein, Jacob
7 Lecouvey, Cédric
7 Moura, Adriano A.
7 Ram, Arun
6 de Graaf, Willem Adriaan
6 Kato, Syu
6 Kaveh, Kiumars
6 Lee, Hyeonmi
6 Strickland, Elisabetta
6 Tanaka, Yuichiro
6 Yakimova, Oksana S.
5 Baumann, Pierre
5 Cerulli Irelli, Giovanni
5 Kang, Seok-Jin
5 Kashiwara, Masaki
5 Koshevoy, Gleb A.
5 Kwon, Jae-Hoon
5 Lakshmibai, Venkatramani
5 Maffei, Andrea
5 Makedonskyi, Ievgen
5 Naoi, Katsuyuki
5 Reineke, Markus
5 Salisbury, Ben
5 Thibon, Jean-Yves
5 Tingley, Peter W.
5 Vavilov, Nikolaĭ Aleksandrovich
5 Viswanath, Sankaran
5 Zelevinskiĭ, Andreĭ V.
4 Assaf, Sami H.
4 Bennett, Matthew R.
4 Bliem, Thomas
4 Can, Mahir Bilen
4 Danilov, Vladimir I.
4 Feĭgin, Boris L’vovich
4 Feigin, E. B.
4 Fujita, Naoki
4 Gaussent, Stéphane
4 Howe, Roger Evans
4 Hu, Jun
4 Joseph, Anthony
4 Karzanov, Aleksandr V.
4 Kim, Sangjib
4 Lee, Soo Teck
4 Loktev, Sergey A.
4 Magyar, Peter
4 Misra, Kailash C.
4 Nakashima, Toshiki
4 Okado, Masato
4 Pattanayak, Santosha Kumar
4 Schwer, Petra N.
4 Shimozono, Mark
4 Stembridge, John R.
4 Venkatesh, R.
3 Alldridge, Alexander
3 Backhaus, Teodor
3 Bianchi, Angelo Calil
3 Bossinger, Lara
3 Brubaker, Ben
3 Bump, Daniel
3 Caldero, Philippe
3 Casati, Paolo
3 Cherednik, Ivan V.
3 Dehy, Raika
3 Donnelly, Robert G.
3 Douglas, Andrew S.
3 Friedberg, Solomon
3 Gros, Michel
3 Guhr, Thomas
3 Haines, Thomas J.
3 Hong, Jin
3 Ishii, Motohiro
3 Kanazawa, Takuya
3 Kapovich, Michael
3 Khandai, Tanusree
3 Khovanskiĭ, Askold Georgievich
3 Kim, Myungho
3 Kiritchenko, Valentina
3 Knop, Friedrich
3 Kousidis, Stavros
3 Lanini, Martina
3 Lubovsky, Arthur
...and 429 more Authors
all top 5

Cited in 120 Serials

93 Journal of Algebra
50 Advances in Mathematics
39 Transformation Groups
27 Algebras and Representation Theory
22 Communications in Algebra
22 Journal of Algebraic Combinatorics
21 Journal of Combinatorial Theory. Series A
21 Transactions of the American Mathematical Society
16 Journal of Pure and Applied Algebra
14 Duke Mathematical Journal
14 Mathematische Zeitschrift
11 Communications in Mathematical Physics
11 Selecta Mathematica. New Series
10 Journal of Mathematical Physics
10 Representation Theory
8 Annales de l’Institut Fourier
7 Compositio Mathematica
7 Journal of Mathematical Sciences (New York)
6 Proceedings of the American Mathematical Society
6 European Journal of Combinatorics
6 Journal of the American Mathematical Society
5 Annals of Combinatorics
5 Algebraic Combinatorics
4 Discrete Mathematics
4 Journal of Geometry and Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Functional Analysis and its Applications
4 Journal of Number Theory
4 Séminaire Lotharingien de Combinatoire
4 Annals of Mathematics. Second Series
3 Journal of Statistical Physics
3 Letters in Mathematical Physics
3 Linear and Multilinear Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Transactions of the Moscow Mathematical Society
3 Probability Theory and Related Fields
3 International Journal of Algebra and Computation
3 Journal of Algebraic Geometry
3 Communications in Contemporary Mathematics
3 Journal of High Energy Physics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Algebra and its Applications
3 Journal of Physics A: Mathematical and Theoretical
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Arkiv för Matematik
2 Bulletin de la Société Mathématique de France
2 Glasgow Mathematical Journal
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Journal of Symbolic Computation
2 International Journal of Mathematics
2 Linear Algebra and its Applications
2 The Electronic Journal of Combinatorics
2 Journal of the European Mathematical Society (JEMS)
2 Annales Henri Poincaré
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Forum of Mathematics, Sigma
2 Research in the Mathematical Sciences
2 Arnold Mathematical Journal
1 International Journal of Modern Physics A
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Geometriae Dedicata
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 St. Petersburg Mathematical Journal
1 Bulletin des Sciences Mathématiques
...and 20 more Serials
all top 5

Cited in 38 Fields

305 Nonassociative rings and algebras (17-XX)
198 Algebraic geometry (14-XX)
172 Combinatorics (05-XX)
148 Group theory and generalizations (20-XX)
63 Topological groups, Lie groups (22-XX)
47 Quantum theory (81-XX)
46 Commutative algebra (13-XX)
31 Associative rings and algebras (16-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
25 Convex and discrete geometry (52-XX)
21 Number theory (11-XX)
18 Special functions (33-XX)
17 Differential geometry (53-XX)
15 Several complex variables and analytic spaces (32-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
13 Probability theory and stochastic processes (60-XX)
13 Statistical mechanics, structure of matter (82-XX)
8 Geometry (51-XX)
6 \(K\)-theory (19-XX)
6 Functional analysis (46-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Computer science (68-XX)
5 Manifolds and cell complexes (57-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Abstract harmonic analysis (43-XX)
3 Category theory; homological algebra (18-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Operator theory (47-XX)
1 Numerical analysis (65-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year