On harmonic elements for semi-simple Lie algebras

Advances in Mathematics

Volumn 166, Issue 1, 2002, Pages 73-99

  Caldero, Philippe ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

Canonical basis; Enveloping algebras; Harmonic space; Quantum groups

Indexed keywords

EID: 0036496538     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2001.2022     Document Type: Article

References (35)

1. Another proof of Joseph and Letzter's separation of variables theorem for quantum groups
2. "Representations and Cohomology. I. Basic Representation Theory of Finite Groups and Associative Algebras"
3. Canonical bases for the quantum group of type A, and piecewise-linear combinatorics
4. "Groupes et Algèbres de Lie"
5. Limits of weight spaces, Lusztig's q-analogs, and fiberings of adjoint orbits
6. q(sl(N + 1))
7. Elements ad-finis de certains groupes quantiques
8. q(n)
9. q(n) at roots of one
10. Representations of quantum groups at roots of 1
11. Quantum coadjoint action
12. On almost cocommutative Hopf algebras
13. Characters of the Nullcone
14. On the mock Peter-Weyl theorem and the Drinfeld double of a double
15. Local finiteness of the adjoint action for quantized envelopping algebras
16. Separation of variables for quantized enveloping algebras
17. Verma modules annihilators for quantized enveloping algebras
18. Non-commutative Gröbner bases in algebras of solvable type
19. On crystal bases
20. Crystal graphs for representations of the q-analogue of classical Lie algebras
21. The uniqueness theorem for the universal ℰ-matrix
22. Lie groups representations on polynomial rings
23. n
24. Canonical bases arising from quantized enveloping algebras, II
25. "Introduction to Quantum Groups"
26. Multiplicative properties of dual canonical bases of quantum groups
27. Hall algebras and quantum groups
28. Analogues de la forme de Killing et du théorème de Harish-Chandra pour les groupes quantiques
29. Killing forms, Harish-Chandra isomorphisms, and universal ℰ-matrices for quantum algebras