lusztig symmetries
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Lusztig symmetries and Poincare-Birkhoff-Witt basis for wUr,sd( osp (1|2n))

Journal of Mathematical Physics ◽

10.1063/1.4852355 ◽

2013 ◽

Vol 54 (12) ◽

pp. 121704 ◽

Cited By ~ 1

Author(s):

Junli Liu ◽

Shilin Yang

Keyword(s):

Witt Basis ◽

Lusztig Symmetries

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LUSZTIG SYMMETRIES AND AUTOMORPHISMS OF QUANTUM SUPERALGEBRAS Uq(osp(1|2r))

Journal of Algebra and Its Applications ◽

10.1142/s021949881000418x ◽

2010 ◽

Vol 09 (05) ◽

pp. 725-762 ◽

Cited By ~ 2

Author(s):

XUEKUN CHEN ◽

SHILIN YANG

Keyword(s):

Hopf Algebra ◽

Braid Group ◽

Group Relations ◽

Lusztig Symmetries ◽

Quantum Superalgebras

We first construct algebra automorphisms Ti (1 ≤ i ≤ r) of ℤ2-graded Hopf algebra Uq( osp (1|2r)), which are called Lusztig's symmetries. It is shown that they satisfy braid group relations. The algebraic automorphisms of Uq( osp (1|2r)) are also described.

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