On an affine quantum KPRV determinant at q=1

Bulletin des Sciences Mathematiques

Volumn 125, Issue 1, 2001, Pages 23-48

  Joseph, Anthony ^a,b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035216495     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0007-4497(00)01067-8     Document Type: Article

References (11)

1. [1] Gorelik M., Lanzmann E., The annihilation theorem for completely reducible Lie superalgebras, Invent. Math. 137 (1999) 651-680.
2. [2] Greenstein J., Joseph A., A Chevalley-Kostant presentation of basic module for sl(2) and the associated affine KPRV determinants at q=1, Bull. Sci. Math. (to appear).
3. [3] Jimbo M., A q-analogue of U (gl(N + 1)) Hecke algebra and Yang-Baxter equation, Lett. Math. Phys. 11 (1986) 247-252.
4. [4] Joseph A., Quantum Groups and their Primitive Ideals, Springer, Berlin, 1995.
5. [5] Joseph A., A completion of the quantized enveloping algebra of a Kac-Moody algebra, J. Algebra 214 (1999) 235-275.
6. [6] Joseph A., Letzter G., Verma module annihilators for quantized enveloping algebras, Ann. Norm. Sup. 28 (1995) 493-526.
7. [7] Joseph A., Todoric D., On the quantum KPRV determinants for semisimple and affine Lie algebras, Preprint, Weizmann, 1999.
8. [8] Kac V., Infinite Dimensional Lie Algebras, Cambridge University Press, Cambridge, 1985.
9. [9] Kostant B., Lie group representations on polynomial rings, Amer. J. Math. 85 (1963) 327-404.
10. ρ ⊗ C(P), and g-module structure of ∧g, Adv. Math. 125 (1997) 275-350.
11. [11] Parthasarathy K.P., Ranga Rao R., Varadarajan V.S., Representations of complex semisimple Lie groups and Lie algebras, Ann. Math. 85 (1967) 383-421.