Work

The convolution algebra structure on $K^G(\mathcal{B} \times \mathcal{B})$

Year: 2011
Type: preprint
Abstract: We show that the convolution algebra $K^G(\mathcal{B} \times \mathcal{B})$ is isomorphic to the Based ring of the lowest two-sided cell of the extended affine Weyl group associated to $G$, where $G$ is a connected reductive algebraic group over the field $\mathbb{C}$ of complex numbers and $\mathcal{B}$ is the flag variety of $G$.
Author: Nie, Sian
Language: English
Open Access status: green
OpenAlex ID: W1679138671
Cites: 1
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Related to: 10