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Book: Algebraic Logic, Quantum Algebra and Algebraic Mathematics

Algebraic Logic, Quantum Algebra and Algebraic Mathematics

Authors: Bci2 et al.

Uploaded by: bci1

Comments:
409 pages, 23Mb PDF, 2010
Abstract:
Contents Articles Algebraic Logic, Quantum Logic, Quantum Algebra, Algebra, Algebraic Geometry, Algebraic Topology, Category Theory and Higher Dimensional Algebra v.2min 1 Boolean logic 1 Intuitionistic logic 7 Heyting arithmetic 13 Algebraic Logic and Many-Valued Logic 14 Algebraic logic 14 Lukasiewicz logic 16 Ternary logic 18 Multi-valued logic 21 Mathematical logic 24 Symbolic logic 37 Metalogic 37 Metatheory 40 Metamathematics 41 Abstract Algebra 43 Abstract algebra 43 Universal algebra 46 Heyting algebra 50 MV-algebra 58 Group theory 60 Abelian group 68 Group algebra 75 Cayley's theorem 77 Special Algebras, Operator Algebra and Quantum Algebra 80 Lie algebra 80 Lie group 85 Affine Lie algebra 94 Kac--Moody algebra 96 Hopf algebra 99 Quantum group 104 Affine quantum group 111 Group representation 112 Unitary representation 115 Representation theory of the Lorentz group 117 Stone--von Neumann theorem 121 Peter-Weyl theorem 126 Quantum algebra 128 Quantum affine algebra 129 Clifford algebra 130 Von Neumann algebra 140 C*-algebra 150 Quasi-Hopf algebra 155 Quasitriangular Hopf algebra 156 Ribbon Hopf algebra 157 Quasi-triangular Quasi-Hopf algebra 158 Quantum inverse scattering method 159 Grassmann algebra 160 Supergroup 174 Superalgebra 174 Algebroid 177 Algebraic Geometry 178 Algebraic geometry 178 List of algebraic geometry topics 186 Duality (projective geometry) 191 Universal algebraic geometry 197 Motive (algebraic geometry) 197 Grothendieck-“Hirzebruch-“Riemann-“Roch theorem 204 Coherent sheaf 206 Grothendieck topology 208 Crystalline cohomology 214 De Rham cohomology 218 Algebraic geometry and analytic geometry 221 Riemannian manifold 224 List of complex analysis topics 229 Algebraic Topology and Groupoids 232 Algebraic topology 232 Groupoid 236 Galois group 241 Grothendieck group 242 Esquisse d'un Programme 245 Galois theory 247 Grothendieck's Galois theory 253 Galois cohomology 254 Homological algebra 255 Homology theory 259 Homotopical algebra 262 Cohomology theory 263 K-theory 266 Algebraic K-theory 268 Topological K-theory 273 Category Theories 275 Category theory 275 Category (mathematics) 282 Glossary of category theory 287 Dual (category theory) 289 Abelian category 290 Yoneda lemma 293 Limit (category theory) 296 Adjoint functors 305 Natural transformations 319 Algebraic category 322 Domain theory 324 Enriched category theory 328 Topos 331 Descent (category theory) 336 Stack (descent theory) 338 Categorical logic 339 Timeline of category theory and related mathematics 342 List of important publications in mathematics 360 Higher Dimensional Algebras (HDA) 383 Higher-dimensional algebra 383 Higher category theory 387 Duality (mathematics) 389 References Article Sources and Contributors 398 Image Sources, Licenses and Contributors 403 Article Licenses License 404
Rights:
open access http://en.wikipedia.org/w/index.php?title=Special:Book&bookcmd=download&collection_id=6939948e69cb91c6&writer=rl&return_to=User%3ABci2%2FBooks%2FAlgebra
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Physics Classification00. (GENERAL)
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