Coalgebras over the higher rank symplectic groups
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- by Anna Maria Paolucci PDF
- Proc. Amer. Math. Soc. 122 (1994), 371-381 Request permission
Abstract:
In these notes we generalize the construction obtained for the deformation of the symplectic group $\operatorname {Sp}(2)$ to the case of any N even: $N = 2k$. We characterize the bialgebras ${A_q}({\operatorname {Sp}}(k))$ by generators and relations. We consider the deformation of the algebra of polynomials on the group ${\operatorname {Sp}}(k):{\operatorname {Pol}}({\operatorname {Sp}_q}(k))$ is a ${\operatorname {Hopf}^ \ast }$-algebra and we build $^ \ast$-representations of it by means of a Verma module construction.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 371-381
- MSC: Primary 17B35; Secondary 16W30, 46L60
- DOI: https://doi.org/10.1090/S0002-9939-1994-1201298-X
- MathSciNet review: 1201298