Dimensions of Demazure modules for rank two affine Lie algebras

Yasmine B. Sanderson

Compositio Mathematica (1996)

  • Volume: 101, Issue: 2, page 115-131
  • ISSN: 0010-437X

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Sanderson, Yasmine B.. "Dimensions of Demazure modules for rank two affine Lie algebras." Compositio Mathematica 101.2 (1996): 115-131. <http://eudml.org/doc/90440>.

@article{Sanderson1996,
author = {Sanderson, Yasmine B.},
journal = {Compositio Mathematica},
keywords = {Kac-Moody algebra; Demazure module; Littelmann's path model; highest weight representations; dimension},
language = {eng},
number = {2},
pages = {115-131},
publisher = {Kluwer Academic Publishers},
title = {Dimensions of Demazure modules for rank two affine Lie algebras},
url = {http://eudml.org/doc/90440},
volume = {101},
year = {1996},
}

TY - JOUR
AU - Sanderson, Yasmine B.
TI - Dimensions of Demazure modules for rank two affine Lie algebras
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 101
IS - 2
SP - 115
EP - 131
LA - eng
KW - Kac-Moody algebra; Demazure module; Littelmann's path model; highest weight representations; dimension
UR - http://eudml.org/doc/90440
ER -

References

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  1. [D] Demazure, M.: Une nouvelle formule des caractères, Bull. Soc. Math. France, 2e série 98, (1974), 163-172. Zbl0365.17005MR430001
  2. [Ka] Kac, V.: Infinite-dimensional Lie-algebras, Cambridge University Press, Cambridge, 1985. Zbl0574.17010MR823672
  3. [Ku] Kumar, S.: Demazure character formula in arbitrary Kac-Moody setting. Invent. Math.89 (1987), 395-423. Zbl0635.14023MR894387
  4. [LS] Lakshmibai, V. and Seshadri, C.S.: Standard monomial theory for SL2, Infinite-dimensional Lie algebras and groups (Luminy- Marseille1988), World Sci. Publishing, Teaneck, NJ,1989, pp. 178-234. Zbl0759.22022MR1026953
  5. [LW] Lepowsky, J. and Wilson, R.L.: The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities. Invent. Math.77 (1984), 199-290. Zbl0577.17009MR752821
  6. [L1] Littelmann, P.: A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras, Invent. Math.116 (1994), 329-346. Zbl0805.17019MR1253196
  7. [L2] Littelmann, P.: Paths and root operators in representation theory. Ann. Math., to appear. Zbl0858.17023MR1356780
  8. [M] Mathieu, O.: Formule de Demazure-Weyl et généralisation du théorème de Borel-Weil-Bott, C.R. Acad. Sc. Paris, Série I, 303 no. 9, (1986), 391-394. Zbl0602.17008MR862200

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