The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / Nanhua Xi.

Format:

Book

Author/Creator:

Xi, Nanhua, 1963- author.

Series:

Memoirs of the American Mathematical Society ; no. 749.

Memoirs of the American Mathematical Society, 0065-9266 ; number 749

Language:

English

Subjects (All):

Weyl groups.

Representations of groups.

K-theory.

Physical Description:

1 online resource (114 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2002]

Language Note:

English

Summary:

Aims to prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.

Contents:

""Contents""; ""Introduction""; ""Chapter 1. Cells in Affine Weyl Groups""; ""1.1. Hecke algebra""; ""1.2. Cell and a-function""; ""1.3. Affine Weyl group""; ""1.4. Star operation""; ""1.5. Based ring""; ""1.6. Star operation, II""; ""Chapter 2. Type A[sub(n-1)]""; ""2.1. The affine Weyl group associated with GL[sub(n)](C)""; ""2.2. Cells""; ""2.3. The based ring J[sub(c)]""; ""2.4. Chains and antichains""; ""2.5. Star operations for W""; ""Chapter 3. Canonical Left Cells""; ""3.1. The dominant weights""; ""3.2. The right cell containing x â?? X[sup(+)]""; ""3.3. The elements m[sub(x)]""

Notes:

Volume 157, number 749 (end of volume)."."

Includes bibliographical references (page 91) and index.

Description based on print version record.

ISBN:

1-4704-0342-0