S. Nie

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20112024

most citedMinimal length elements of extended affine Coxeter groups, II

63 citations · 123 across the 23 of their papers we have counts for

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math.RT2011★ 63 cited

Minimal length elements of extended affine Coxeter groups, II

Xuhua He, Sian Nie

Let $W$ be an extended affine Weyl group. We prove that minimal length elements $w_{\co}$ of any conjugacy class $\co$ of $W$ satisfy some special properties, generalizing results…

math.RT2011

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

Sian Nie

We show that the convolution algebra $K^{G} (B \times B)$ is isomorphic to the Based ring of the lowest two-sided cell of the extended affine Weyl group associated…

math.RT2011★ 16 cited

Minimal length elements of finite Coxeter groups

Xuhua He, Sian Nie

We give a geometric proof that minimal length elements in a (twisted) conjugacy class of a finite Coxeter group $W$ have remarkable properties with respect to conjugation, taking p…

Minimal length elements of extended affine Coxeter groups, II

The convolution algebra structure on KG(B×B)

Minimal length elements of finite Coxeter groups

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