New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / P. Ara [and five others], editors.

Format:

Book

Contributor:

Goodearl, K. R., honouree.

Ara, Pere, 1959- editor.

University of Washington, issuing body.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 562

Contemporary mathematics, 562 0271-4132

Language:

English

Subjects (All):

Noncommutative algebras--Congresses.

Noncommutative algebras.

Physical Description:

1 online resource (326 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2012]

Language Note:

English

Summary:

This volume contains the proceedings of the conference "New Trends in Noncommutative Algebra", held at the University of Washington, Seattle, in August 2010, in honor of Ken Goodearl's 65th birthday. The articles reflect the wide interests of Goodearl and will provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Calabi-Yau algebras, quantum algebras and deformation quantization, Poisson algebras, growth of algebras, group algebras, and noncommutative Iwasawa algebras.

Contents:

Preface

Ken Goodearl's contributions to ring theory

1. C*-algebras and von Neumann regular rings

2. Differential operator rings.

3. Skew and -skew polynomial rings. Quantum coordinate rings.

4. Stratification.

5. H-prime ideals, totally nonnegative grassmanians, and symplectic leaves in matrix Poisson varieties.

6. Homological aspects of quantum groups and noetherian Hopf algebras.

7. Gems off the path.

8. Expository works.

Bibliography

Row-finite equivalents exist only for row-countable graphs

References

The controller subgroup of one-sided ideals in completed group rings

1. Introduction

2. The controller subgroup for profinite groups

3. Compact -adic analytic groups

Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type _{ }

2. Cauchon diagrams and Permutations in type _{ }

3. Enumeration of a-strata with respect to dimension

4. The proportion of primitive a-primes

Primitive algebraic algebras of polynomially bounded growth

2. Gelfand-Kirillov dimension

3. Affinization

4. Algebraic algebras

5. Affinization with two generators

6. Questions

Acknowledgments

Conic bundles and Clifford algebras

2. Quadratic Forms over Schemes and Associated Conic Bundles

3. Even Clifford Algebras

4. Quaternion Algebras

5. Brauer-Severi Varieties of Even Clifford Algebras

6. Quaternion algebras of conic bundles

7. Chern classes and - ³

8. Del Pezzo Orders and Conic Bundles

Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras

2. Hecke and Cherednik algebras

3. Category and basic sets

4. Forms and Standard Modules

5. Type (ℓ,1, )

On representations of Clifford algebras of Ternary cubic forms

2. Generalities on Representations of Generalized Clifford Algebras and Ulrich Bundles

3. The Case of Ternary Cubic Forms

Certain subgroups of Weyl groups are split

2. Symmetric groups

3. Direct products

4. Wreath products

5. Division algebras

6. Schur indices

7. Classical Weyl groups

8. Exceptional Weyl groups

9. Positive characteristic

10. Real reflection groups

11. Open questions

Primitive ideals in quantum a and a

0. Introduction

1. Background and notation

2. Torus-invariant prime ideals

3. Localizations

4. Centers of localizations

5. Primitive ideals

6. General consequences

7. A

endix. Homological conditions

Irreducible components of module varieties: projective equations and rationality

Poisson brackets and Poisson spectra in polynomial algebras

Hopf Action on Calabi-Yau algebras

Finitely generated, non-artinian monolithic modules

Regular algebras of dimension 4 with 3 generators

Galois invariants of x-groups of Iwasawa algebras

Strata of prime ideals of De Concini–Kac–Procesi algebras and Poisson geometry

Twisted Deformation Quantization of Algebraic Varieties (Survey).

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

0-8218-8497-2