Quantum linear groups
by Parshall, Brian, Wang, Jian-pan
fromMemoirs of the American Mathematical Society
by Parshall, Brian, Wang, Jian-pan
fromMemoirs of the American Mathematical Society
by Parshall, Brian, Wang, Jianpan
fromMemoirs of the American Mathematical Society
We consider the theory of quantum groups as a natural abstraction of the theory of affine group schemes. After establishing the foundational results as the theory of induced representations, rational cohomology, and the Hochschild-Serre spectral sequence, we take up a detailed i…
The n-dimensional representations, over an algebraically closed characteristic zero field k, of a finitely generated group are parameterized by an affine algebraic variety over k. The tangent spaces of this variety are subspaces of spaces of one-cocycles and thus the geometry of…