| 词条 | Algebra bundle |
| 释义 |
In mathematics, an algebra bundle is a fiber bundle whose fibers are algebras and local trivializations respect the algebra structure. It follows that the transition functions are algebra isomorphisms. Since algebras are also vector spaces, every algebra bundle is a vector bundle. Examples include the tensor-algebra bundle, exterior bundle, and symmetric bundle associated to a given vector bundle, as well as the Clifford bundle associated to any Riemannian vector bundle. See also
References
| last1 = Greub | first1 = Werner | last2 = Halperin | first2 = Stephen | last3 = Vanstone | first3 = Ray | mr = 0336651 | publisher = Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London | title = Connections, curvature, and cohomology. Vol. II: Lie groups, principal bundles, and characteristic classes | year = 1973}}.
| last1 = Chidambara | first1 = C. | last2 = Kiranagi | first2 = B. S. | issue = 1 | journal = Journal of the Ramanujan Mathematical Society | mr = 1279097 | pages = 1–12 | title = On cohomology of associative algebra bundles | volume = 9 | year = 1994}}.
| last1 = Kiranagi | first1 = B. S. | last2 = Rajendra | first2 = R. | doi = 10.1142/S0219498808003041 | issue = 6 | journal = Journal of Algebra and its Applications | mr = 2483326 | pages = 685–715 | title = Revisiting Hochschild cohomology for algebra bundles | volume = 7 | year = 2008}}.
| last1=Kiranagi | first1=B.S. | last2= Ranjitha | first2 =Kumar | last3=Prema | first3= G. | doi= 10.1142/S0219498815500097 | issue = 2 | journal = Journal of Algebra and its Applications | pages = 1–11 | title = On completely semisimple Lie algebra bundles |volume=14 | year = 2014}}.{{DEFAULTSORT:Algebra Bundle}}{{topology-stub}}{{algebra-stub}} 1 : Vector bundles |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。