Skip to main content
Article thumbnail
Location of Repository

Subregular representations of Sln and simple singularities of type An−1

By I. (Iain) Gordon and Dmitriy Rumynin


Alexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutative deformations of the corresponding singularities? We solve this problem for type A

Topics: QA
Publisher: Cambridge University Press
Year: 2003
OAI identifier:

Suggested articles


  1. (1994). Algorithmic and Combinatorial Algebra, doi
  2. (1987). Auslander-Reiten sequences with few middle terms and applications to string algebras, doi
  3. (1999). Bases in equivariant K-theory, doi
  4. (2002). Block representation type of reduced enveloping algebras,
  5. (1999). Centers of reduced enveloping algebras, doi
  6. (1991). Finite-dimensionality of Extn and Torn of simple modules over a class of algebras, doi
  7. (1982). Graded Artin algebras, doi
  8. (2000). Gro ¨ bner-Shirshov bases for representation theory,
  9. (2000). Indecomposable representations of generalized Weyl algebras, doi
  10. (1995). Irreducible representations of Lie algebras of reductive groups and the Kac–Weisfeiler conjecture, doi
  11. (2000). Modular representations of reductive Lie algebras, doi
  12. (1998). Non-commutative deformations of Kleinian Singularities, doi
  13. (1993). Non-commutative deformations of type-A Kleinian singularities, doi
  14. (1997). Representations of Lie algebras in prime characteristic, Representation Theories and Algebraic Geometry doi
  15. (2002). Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity, doi
  16. (1980). Simple Singularities and Simple Algebraic Groups, doi
  17. Special transverse slices and enveloping algebras, doi
  18. (1999). Subregular nilpotent representations of Lie algebras in prime characteristic, doi
  19. (1999). Subregular nilpotent representations of sln and so2nþ1,
  20. (1991). The Green ring of a simple three-dimensional Lie p-algebra,
  21. (1971). The irreducible representations of Lie p-algebras, doi
  22. (2001). The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras, doi
  23. (1992). Translation functors and equivalences of derived categories for blocks of algebraic groups, Finite-Dimensional Algebras and Related Topics doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.