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Some (Pre-)
Publications:
- S. Gaussent, P. Littelmann: One-skeleton galleries, Hall-Littlewood polynomials and the path model, (2010).
- E. Feigin, G. Fourier, P. Littelmann: PBW filtration and bases for irreducible modules in type $A_n$, (2010).
- B. Feigin, E. Feigin, P. Littelmann: Zhu's algebras, $C_2$-algebras and abelian radicals, to appear in J. Algebra (2010).
- E. Feigin, P. Littelmann: Zhu's algebra and the $C_2$-algebra in the symplectic and the orthogonal cases, J. Phys. A: Math. Theor. 43 (2009)
- R. Chirivì, P. Littelmann, A. Maffei: Equations defining symmetric varieties and affine Grassmannians, Int. Math. Res. Not. IMRN (2009), no. 2, 291--347.
- P. Littelmann, H. -J. Sommers, M. R. Zirnbauer: Superbosonization of invariant random matrix ensembles. Commun. Math. Phys. 283 (2008)
- P. Littelmann, Über Horns Vermutung, Geometrie, Kombinatorik und Darstellungstheorie, Jahresber. Deutsch. Math.-Verein. 110 (2008), no. 2, 75--99
- G. Fourier, P. Littelmann: Weyl modules,
affine Demazure modules, fusion products and limit constructions, Adv. Math. 211 (2007), no. 2, 566--593
- G. Fourier, P. Littelmann: Tensor product
structure of affine Demazure modules and limit constructions, Nagoya Math. J. 182 (2006), 171--198.
- S. Gaussent, P. Littelmann: LS-galleries,
the path model and MV-cycles Duke Math. J. 127 (2005), no. 1,
35--88.
- P. Caldero, P. Littelmann: Adapted
bases and standard monomial theory J. Pure Appl. Algebra 191
(2004), no. 1-2, 99--118
- P. Littelmann: Bases for
representations,
LS-paths and Verma flags A tribute to C. S. Seshadri (Chennai,
2002), 323--345, Trends Math., Birkhäuser, Basel, (2003).
- V. Lakshmibai, P. Littelmann: Richardson
varieties and equivariant $K$-theory. J. Algebra 260 (2003), no. 1,
230--260
- S. Kumar, P. Littelmann: Algebraization
of Frobenius splitting via quantum groups Ann. of Math. (2)
155 (2002), no. 2, 491--551
- V. Lakshmibai, P. Littelmann, P. Magyar: Standard
Monomial Theory for Bott-Samelson Varieties, Compositio Math.130,
293--318
(2001)
- P. Littelmann, C.S. Seshadri: Pieri-Chevalley
type
formula for
$K(G/B)$ and standard monomial theory. Studies in memory of Issai
Schur
(Chevaleret/Rehovot, 2000), 155--176, Progr. Math., 210,
Birkhäuser Boston, Boston, MA, 2003.
- S. Kumar, P. Littelmann: Frobenius
splitting in characteristic zero and the quantum Frobenius map,
J.Pure
Appl. Algebra (2000).
- P. Littelmann: Contracting
Modules and Standard Monomial Theory for Symmetrizable Kac-Moody
Algebras,
JAMS 11, (1998), pp. 551--567.
- P. Littelmann: Cones,
crystals and patterns, Transf. Groups 3, (1998), pp. 145--179.
- P. Littelmann: Bases
canoniques et applications, Séminaire Bourbaki, 50ème
année,
no 847 (1998).
- P. Littelmann: The
path model, the quantum Frobenius map and Standard Monomial Theory,
``Algebraic Groups and Their Representations'' (R. Carter and J. Saxl,
eds.), Kluwer Academic Publishers (1998).
- V. Lakshmibai, P. Littelmann, P. Magyar, Standard
Monomial Theory and applications, ``Representation Theories and
Algebraic
Geometry'' (A. Broer, ed.), Kluwer Academic Publishers (1998).
- P. Littelmann: Characters of representations and paths in
${h}_{\R}^*$,
Proceedings of Symposia in Pure Mathematics 61, (1997), pp. 29--49.
- P. Littelmann, An algorithm to compute bases and representation matrices for ${\rm SL}_{n+1}$-representations, Algorithms for algebra (Eindhoven, 1996). J. Pure Appl. Algebra 117/118 (1997), 447--468.
- P. Littelmann, A
plactic algebra for semisimple Lie algebras, Advances in
Mathematics
124 (1996), pp. 312--33
- P. Littelmann, An effective method to classify nilpotent orbits, Algorithms in algebraic geometry and applications (Santander, 1994), 255--269, Progr. Math., 143, Birkhäuser, Basel, (1996).
- P. Littelmann: Paths
and
root
operators
in representation theory, Annals of Mathematics 142, 1995, pp.
499--525.
- P. Littelmann, Crystal graphs and Young tableaux, J. Algebra 175 (1995), no. 1, 65--87.
- P. Littelmann: The path model of representations, Proceedings
of the
ICM Zürich 1994, Birkhäuser Verlag, Basel--Boston, (1995), pp.
298--308.
- P. Littelmann: A
Littlewood-Richardson type rule for symmetrizable Kac-Moody algebras,
Inventiones mathematicae 116 (1994)
- P. Littelmann, On spherical double cones, J. Algebra 166 (1994), no. 1, 142--157.
- P. Littelmann, Good filtrations and decomposition rules for
representations with standard monomial theory. J. Reine Angew. Math.
433 (1992), 161--180.
- P. Littelmann, C. Procesi, On the Poincaré series of the invariants of binary forms. J. Algebra 133 (1990), no. 2, 490--499.
- P. Littelmann, C. Procesi, Equivariant cohomology of wonderful
compactifications. Operator algebras, unitary representations,
enveloping algebras, and invariant theory (Paris, 1989), 219--262,
Progr. Math., 92, Birkhäuser Boston, Boston, MA, 1990.
- P- Littelmann, A generalization of the Littlewood-Richardson rule, J. Algebra 130 (1990), no. 2, 328--368.
- P. Littelmann, Koreguläre und äquidimensionale Darstellungen, J. Algebra 123 (1989), no. 1, 193--222.
- P. Littelmann, A Littlewood-Richardson rule for classical
groups. C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), no. 6, 299--303.
- F. Knop, P. Littelmann, Der Grad erzeugender Funktionen von Invariantenringen, Math. Z. 196 (1987), no. 2, 211--229.
Popularizing Publication
- P. Littelmann: Jeu
de taquin et tableaux de Young, erschienen in der Zeitschrift
L'Ouvert (1999)