We study module algebras over quantum groups and their categories of equivariant modules. An equivariant algebraic K-theory of quantum group actions is introduced, and properties of this K-theory are developed. The equivariant K-groups for quantum homogeneous spaces and quantum symmetric algebras are computed. This is joint work with Gus Lehrer and Ngau Lam.
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After the seminar we will be taking the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
James East jamese@maths.usyd.edu.au