Opening book details…
Can I read Triangular Decomposition of Right Coideal Subalgebras on EtoBox?
Triangular Decomposition of Right Coideal Subalgebras by V.K. Kharchenko is a Mathematics article available to read on EtoBox.
What is Triangular Decomposition of Right Coideal Subalgebras about?
Let g be a Kac-Moody algebra. We show that every homogeneous right coideal subalgebra U of the multiparameter version of the quantized universal enveloping algebra U q (g), q m = 1 containing all group-like elements has a triangular decomposition where U -and U + are right coideal subalgebras of negative and positive quantum Borel subalgebras. However if U 1 and U 2 are arbitrary right coideal subalgebras of respectively positive and negative quantum Borel subalgebras, then the triangular composition U 2 ⊗ k[F ] k[H] ⊗ k[G] U 1 is a right coideal but not necessary a subalgebra. Using a recent combinatorial classification of right coideal subalgebras of the quantum Borel algebra U + q (so 2n+1 ), we find a necessary condition for the triangular composition to be a right coideal subalgebra of U q (so 2n+1 ). If q has a finite multiplicative order t > 4, similar results remain valid for homogeneous right coideal subalgebras of the multiparameter version of the small Lusztig quantum groups u q (g), u q (so 2n+1 ).
Who reads Triangular Decomposition of Right Coideal Subalgebras?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- V.K. Kharchenko
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)