Whittaker modules for the derivation Lie algebra of torus with two variables

Authors
Lian, Hai Feng Zhang, Xiu Fu
Citation
Lian, Hai Feng et Zhang, Xiu Fu, Whittaker modules for the derivation Lie algebra of torus with two variables, Acta mathematica Sinica. English series (Print) , 32(10), 2016, pp. 1177-1188
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
10
Year of publication
2016
Pages
1177 - 1188
Database
ACNP
SICI code
Abstract
Let L be the derivation Lie algebra of C[t±11,t±12]. Given a triangle decomposition L = L + . h . L ., we define a nonsingular Lie algebra homomorphism .: L + . . and the universal Whittaker L-module W . of type .. We obtain all Whittaker vectors and submodules of W . . Moreover, all simple Whittaker L-modules of type . are determined.