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170715s2017 riu o 000 0 eng d |
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|a EBLCP
|b eng
|e pn
|c EBLCP
|d OCLCQ
|d LOA
|d OCLCO
|d OCLCF
|d K6U
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|a 9781470440428
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|a 1470440423
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|a AU@
|b 000069466656
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|a (OCoLC)993781020
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|a QA174.G767 2017
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|a 512.4
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|a UAMI
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|a Chin, William.
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|a Groups, Rings, Group Rings, and Hopf Algebras.
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|a Providence :
|b American Mathematical Society,
|c 2017.
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|a 1 online resource (294 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
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|a Contemporary Mathematics ;
|v v. 688
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|a Print version record.
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|a Cover; Title page; Contents; Preface; The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions; 1. Introduction; 2. The Dixmier-Moeglin equivalence under base change; 3. Linear operators on rings; 4. Proof of Theorem 1.6; Acknowledgments; References; Nagata-Higman and rings with involution; References; On left symmetric color algebras; 1. Introduction; 2. Left symmetric color algebras and nondegenerate color symmetric 2-cocycles; 3. Lifting the derivations of into the derivations of * ; Acknowledgements; References.
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|a On the automorphism group of rational group algebras of finite groups1. Introduction; 2. Preliminaries; 3. Group algebras of simple groups; 4. Non-simple groups; References; Graded simple modules and loop modules; 1. Introduction; 2. Graded simple modules; 3. Loop modules; 4. The groupoids \frM() and \frN(); 5. Graded simple modules with finite-dimensional centralizers; 6. Graded simple modules with simple centralizers; 7. Finite-dimensional graded simple modules in characteristic zero; References; Symmetric groups and fixed points on modules: An application of group theory to topology.
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|a 1. Introduction2. Theorem 2.1; 3. The norm map; References; Free unit groups in group rings and division rings: My collaboration with Don Passman; 1. Introduction; 2. Our first work; 3. The following years; 4. The proof of Theorem 3.2; 5. Involutions in group rings; 6. Our exploits in division rings; References; Group rings and Jordan decomposition; 1. Introduction; 2. Matrix Rings; 3. Group Rings; 4. Future Work; References; On the Toeplitz-Jacobson algebra and direct finiteness; 1. Introduction; 2. The results; 3. The direct finiteness conjecture and other outstanding problems.
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|a AcknowledgmentReferences; Frobenius divisibility for Hopf algebras; Introduction; 1. Symmetric Algebras; 2. Hopf Algebras; Acknowledgement; References; Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property; 1. Introduction; 2. Cocommutative algebras, smash products, and the PBW theorem; 3. Characterization via deformation theory; 4. The case of bialgebras and Hopf algebras; 5. Generalized nil-Coxeter algebras and grouplike algebras; 6. Deformations over cocommutative algebras with nilpotent maximal ideals; Acknowledgments; References; -subgroups of units in ℤ
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|a 1. Introduction2. Known results; 3. Frobenius Groups; 4. Crucial examples for simple linear groups; 5. Conjugacy in larger group rings; References; On the classification of finite-dimensional semisimple Hopf algebras; 0. Introduction; 1. Abelian extensions; 2. Structure of ²_{ }(\myk _{ }, \myk^{ }, \tl); 3. The Isomorphism Theorems; 4. Almost Abelian Hopf Algebras of Dimension \le ⁴; 5. Some old classification results revisited; 6. Appendices; References; Zero divisors in group rings of wreath products of groups; 1. Introduction.; 2. Preliminaries.; 3. The Proof of Theorem I.
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|a 4. Proofs of Theorems II and III.
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|a This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2-4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3-4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Group algebras
|v Congresses.
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650 |
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|a Group rings
|v Congresses.
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|a Hopf algebras
|v Congresses.
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650 |
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|a Associative rings and algebras
|x Rings and algebras with additional structure
|x Rings and algebras with additional structure.
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650 |
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6 |
|a Algèbres de groupes
|v Congrès.
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650 |
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6 |
|a Anneaux de groupes
|v Congrès.
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650 |
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6 |
|a Algèbres de Hopf
|v Congrès.
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|a Group algebras
|2 fast
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|a Group rings
|2 fast
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|a Hopf algebras
|2 fast
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655 |
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|a Conference papers and proceedings
|2 fast
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700 |
1 |
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|a Bergen, Jeffrey.
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700 |
1 |
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|a Catoiu, Stefan.
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700 |
1 |
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|a Chin, William.
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776 |
0 |
8 |
|i Print version:
|a Chin, William.
|t Groups, Rings, Group Rings, and Hopf Algebras.
|d Providence : American Mathematical Society, ©2017
|z 9781470428051
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830 |
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0 |
|a Contemporary Mathematics.
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856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908307
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL4908307
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994 |
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|a 92
|b IZTAP
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