Introduction to Groups, Groupoids and Their Representations
Introduction to Groups, Groupoids and Their Representations
Ibort, Alberto; Rodriguez, Miguel A.
Taylor & Francis Ltd
06/2021
362
Mole
Inglês
9781032086767
15 a 20 dias
449
Descrição não disponível.
1. Categories: basic notions and examples. 2. Groups. 3. Groupoids. 4. Actions of groups and groupoids. 5. Functors and transformations. 6. The structure of groupoids. 7. Linear representations of groups. 8. Characters. 9. Linear representations of categories. 10. Algebras and groupoids. 11. Semi-simplicity. 12. Representations of groupoids. A. Glossary of Linear Algebra. B. Generators and relations. C. Schwinger Algebra. Bibliography. Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Finite Groupoids;Irreducible Representation;combinatorics;Finite Dimensional Representations;topology;Finite Dimensional Linear Space;incomplete symmetries;Isotropy Group;group theory;Linear Space;category theory;Invariant Subspace;finite groups;Disjoint Union;Schur's Lemmas;Tensor Product;Composition Law;Indecomposable Representations;Groupoid Algebra;Short Exact Sequence;Abelian Group;Direct Sum;Finite Dimensional Algebras;Conjugacy Class;Normal Subgroup;Left Regular Representation;Group Homomorphisms;Linear Representations;Finite Group;Complex Separable Hilbert Spaces;Nilpotent Ideal
1. Categories: basic notions and examples. 2. Groups. 3. Groupoids. 4. Actions of groups and groupoids. 5. Functors and transformations. 6. The structure of groupoids. 7. Linear representations of groups. 8. Characters. 9. Linear representations of categories. 10. Algebras and groupoids. 11. Semi-simplicity. 12. Representations of groupoids. A. Glossary of Linear Algebra. B. Generators and relations. C. Schwinger Algebra. Bibliography. Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Finite Groupoids;Irreducible Representation;combinatorics;Finite Dimensional Representations;topology;Finite Dimensional Linear Space;incomplete symmetries;Isotropy Group;group theory;Linear Space;category theory;Invariant Subspace;finite groups;Disjoint Union;Schur's Lemmas;Tensor Product;Composition Law;Indecomposable Representations;Groupoid Algebra;Short Exact Sequence;Abelian Group;Direct Sum;Finite Dimensional Algebras;Conjugacy Class;Normal Subgroup;Left Regular Representation;Group Homomorphisms;Linear Representations;Finite Group;Complex Separable Hilbert Spaces;Nilpotent Ideal