1.

Record Nr.

UNINA9910480516703321

Titolo

Azumaya algebras, actions, and modules : proceedings of a conference in honor of Goro Azumaya's seventieth birthday / / Darrell Haile, James Osterburg, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1992]

©1992

ISBN

0-8218-7712-7

0-8218-5457-7

Descrizione fisica

1 online resource (322 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 124

Disciplina

512/.4

Soggetti

Azumaya algebras

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Proceedings of a conference held May 23-27, 1990, with support from the National Science Foundation, the Institute of Mathematics and Its Applications, Indiana University, and the University of Cincinnati."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Preface""; ""Biography of Goro Azumaya""; ""List of Participants""; ""Geometry of Quantum Planes""; ""Locally Pure-Projective Modules""; ""On the Blattner-Montgomery Duality Theorem for Hopf Algebras""; ""Actions of Solvable Algebraic Groups on Noncommutative Rings""; ""Nontrivial, Locally Trivial Azumaya Algebras""; ""The Cartan Determinant and Global Dimension of Artinian Rings""; ""Integral Representations of Finite Groups with Finite Representation Type""; ""Homomorphisms Between Ore Extensions""

""Differential Identities of Prime Rings, Kharchenko's Theorem, and Applications""""Hopf Galois Extensions""; ""Enveloping Algebras of Lie Superalgebras: A Survey""; ""Constructing Nonstandard Uniserial Modules over Valuation Domains""; ""What Makes A Skew Group Ring Prime?""; ""Wedderburn's Method and Algebraic Elements of Simple Artinian Rings""; ""Finite Dimensional Division Algebras""; ""Gubeladze's Proof of Anderson's Conjecture""; ""On Azumaya Projective Group Rings""; ""Some Ring Themes in the Theory of Varieties of Group Representations""

""Valuations on Tensor Products of Symbol Algebras""""Torsion-Free



Modules over Regular Domains of Dimension Two""

2.

Record Nr.

UNINA9910827899303321

Autore

Pelayo Alvaro <1978->

Titolo

Symplectic actions of 2-tori on 4-manifolds / / Alvaro Pelayo

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2009

©2009

ISBN

1-4704-0573-3

Descrizione fisica

1 online resource (81 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 204, Number 959

Disciplina

516.3/62

Soggetti

Symplectic manifolds

Low-dimensional topology

Torus (Geometry)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 204, Number 959 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""Chapter 2. The orbit space""; ""2.1. Symplectic form on the T-orbits""; ""2.2. Stabilizer subgroup classification""; ""2.3. Orbifold structure of M/T""; ""2.4. A flat connection for the projection M M/T""; ""2.5. Symplectic tube theorem""; ""Chapter 3. Global model""; ""3.1. Orbifold coverings of M/T""; ""3.2. Symplectic structure on M/T""; ""3.3. Model of (M,  ): Definition""; ""3.4. Model of (M,): Proof""; ""Chapter 4. Global model up to equivariant diffeomorphisms""; ""4.1. Generalization of Kahn's theorem""

""4.2. Smooth equivariant splittings""""4.3. Alternative model""; ""Chapter 5. Classification: Free case""; ""5.1. Monodromy invariant""; ""5.2. Uniqueness""; ""5.3. Existence""; ""5.4. Classification theorem""; ""Chapter 6. Orbifold homology and geometric mappings""; ""6.1. Geometric torsion in homology of orbifolds""; ""6.2. Geometric isomorphisms""; ""6.3. Symplectic and torsion geometric maps""; ""6.4. Geometric isomorphisms: Characterization""; ""Chapter 7. Classification""; ""7.1. Monodromy invariant""; ""7.2. Uniqueness""; ""7.3. Existence""; ""7.4. Classification theorem""



""Chapter 8. The four-dimensional classification""""8.1. Two families of examples""; ""8.2. Classification statement""; ""8.3. Proof of Theorem 8.2.1""; ""8.4. Corollaries of Theorem 8.2.1""; ""Chapter 9. Appendix: (sometimes symplectic) orbifolds""; ""9.1. Bundles, connections""; ""9.2. Coverings""; ""9.3. Differential and symplectic forms""; ""9.4. Orbifold homology, Hurewicz map""; ""9.5. Classification of orbisurfaces""; ""Bibliography""