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Algorithmic methods in non-commutative algebra : applications to quantum groups / by José Bueso, José Gómez-Torrecillas, and Alain Verschoren
| Algorithmic methods in non-commutative algebra : applications to quantum groups / by José Bueso, José Gómez-Torrecillas, and Alain Verschoren |
| Autore | Bueso, José Luis |
| Pubbl/distr/stampa | Dordrecht ; Boston ; London : Kluwer Academic Publishers, c2003 |
| Descrizione fisica | xi, 298 p. : ill. ; 25 cm |
| Disciplina | 512 |
| Altri autori (Persone) |
Gómez-Torrecillas, Joséauthor
Verschoren, Alain |
| Collana | Mathematical modelling. Theory and applications ; 17 |
| Soggetto topico |
Noncommutative algebras
Algorithms Quantum groups |
| ISBN | 1402014023 |
| Classificazione |
AMS 17B37
LC QA251.4.B84 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000513019707536 |
Bueso, José Luis
|
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| Dordrecht ; Boston ; London : Kluwer Academic Publishers, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
| Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (123 p.) |
| Disciplina | 652/.8015122 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Group theory
Noncommutative algebras Algorithms Data encryption (Computer science) Cryptography Algebra |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2263-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups"" ""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallingsâ€? pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushnerâ€?s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings"" ""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion"" ""4. Open problems"" |
| Record Nr. | UNINA-9910480248303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
| Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (123 p.) |
| Disciplina | 652/.8015122 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Group theory
Noncommutative algebras Algorithms Data encryption (Computer science) Cryptography Algebra |
| ISBN | 1-4704-2263-8 |
| Classificazione | 20-XX68-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups"" ""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallingsâ€? pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushnerâ€?s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings"" ""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion"" ""4. Open problems"" |
| Record Nr. | UNINA-9910797015603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
| Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (123 p.) |
| Disciplina | 652/.8015122 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Group theory
Noncommutative algebras Algorithms Data encryption (Computer science) Cryptography Algebra |
| ISBN | 1-4704-2263-8 |
| Classificazione | 20-XX68-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups"" ""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallingsâ€? pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushnerâ€?s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings"" ""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion"" ""4. Open problems"" |
| Record Nr. | UNINA-9910826587203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algèbre non commutative / G. Renault
| Algèbre non commutative / G. Renault |
| Autore | Renault, Guy |
| Pubbl/distr/stampa | Paris : Gauthier-Villars, 1975 |
| Descrizione fisica | ix, 181 p. : ill. ; 24 cm. |
| Disciplina | 512.4 |
| Collana | Varia mathematica |
| Soggetto topico |
Associative algebras
Associative rings Modules Noetherian rings Noncommutative algebras |
| ISBN | 2040017070 |
| Classificazione |
AMS 16-01
AMS 16-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991000667709707536 |
|
Renault, Guy
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| Paris : Gauthier-Villars, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Deformations of space-time symmetries : gravity, group-valued momenta and non-commutative fields / / Michele Arzano, Jerzy Kowalski-Glikman
| Deformations of space-time symmetries : gravity, group-valued momenta and non-commutative fields / / Michele Arzano, Jerzy Kowalski-Glikman |
| Autore | Arzano Michele |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [2021] |
| Descrizione fisica | 1 online resource (198 pages) |
| Disciplina | 530.15 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Mathematical physics
Symmetry (Mathematics) Noncommutative algebras |
| ISBN | 3-662-63097-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910485591203321 |
|
Arzano Michele
|
||
| Berlin, Heidelberg : , : Springer-Verlag, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deformations of space-time symmetries : gravity, group-valued momenta and non-commutative fields / / Michele Arzano, Jerzy Kowalski-Glikman
| Deformations of space-time symmetries : gravity, group-valued momenta and non-commutative fields / / Michele Arzano, Jerzy Kowalski-Glikman |
| Autore | Arzano Michele |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [2021] |
| Descrizione fisica | 1 online resource (198 pages) |
| Disciplina | 530.15 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Mathematical physics
Symmetry (Mathematics) Noncommutative algebras |
| ISBN | 3-662-63097-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466847003316 |
|
Arzano Michele
|
||
| Berlin, Heidelberg : , : Springer-Verlag, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Dimer models and Calabi-Yau algebras / / Nathan Broomhead
| Dimer models and Calabi-Yau algebras / / Nathan Broomhead |
| Autore | Broomhead Nathan <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Toric varieties
Calabi-Yau manifolds Noncommutative algebras Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8514-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows""
""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" |
| Record Nr. | UNINA-9910480937503321 |
|
Broomhead Nathan <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dimer models and Calabi-Yau algebras / / Nathan Broomhead
| Dimer models and Calabi-Yau algebras / / Nathan Broomhead |
| Autore | Broomhead Nathan <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Toric varieties
Calabi-Yau manifolds Noncommutative algebras Geometry, Algebraic |
| ISBN | 0-8218-8514-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows""
""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" |
| Record Nr. | UNINA-9910788616903321 |
|
Broomhead Nathan <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dimer models and Calabi-Yau algebras / / Nathan Broomhead
| Dimer models and Calabi-Yau algebras / / Nathan Broomhead |
| Autore | Broomhead Nathan <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Toric varieties
Calabi-Yau manifolds Noncommutative algebras Geometry, Algebraic |
| ISBN | 0-8218-8514-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows""
""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" |
| Record Nr. | UNINA-9910827787703321 |
|
Broomhead Nathan <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Noncommutative algebras
(44)
- Geometry, Algebraic (10)
- Algorithms (4)
- Noncommutative rings (4)
- Algebra (3)