"Vector valued differential forms"의 두 판 사이의 차이
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imported>Pythagoras0 |
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* http://library.wolfram.com/infocenter/MathSource/683/ | * http://library.wolfram.com/infocenter/MathSource/683/ | ||
* http://en.wikipedia.org/wiki/Vector-valued_form | * http://en.wikipedia.org/wiki/Vector-valued_form | ||
| − | * chapter 8 of [http://www.cis.upenn.edu/%7Ecis610 | + | * chapter 8 of [Notes on Differential Geometry and Lie Groups http://www.cis.upenn.edu/%7Ecis610/diffgeom-n.pdf] by Jean Gallier |
* Integrable Hamiltonian hierarchies: spectral and geometric methods http://books.google.com/books?id=uoWMwhA4UNkC&pg=PA466&lpg=PA466&dq=commutator+vector+valued+forms&source=bl&ots=BAl_WcubCU&sig=Hn05qnd8ahVchDY3U3uOerMQ4kY&hl=ko&ei=ZYefTdWnN4fbiALArfyCAw&sa=X&oi=book_result&ct=result&resnum=5&ved=0CDsQ6AEwBA#v=onepage&q=commutator%20vector%20valued%20forms&f=false | * Integrable Hamiltonian hierarchies: spectral and geometric methods http://books.google.com/books?id=uoWMwhA4UNkC&pg=PA466&lpg=PA466&dq=commutator+vector+valued+forms&source=bl&ots=BAl_WcubCU&sig=Hn05qnd8ahVchDY3U3uOerMQ4kY&hl=ko&ei=ZYefTdWnN4fbiALArfyCAw&sa=X&oi=book_result&ct=result&resnum=5&ved=0CDsQ6AEwBA#v=onepage&q=commutator%20vector%20valued%20forms&f=false | ||
* http://math.stackexchange.com/questions/3192/gauge-transformations-in-differential-forms | * http://math.stackexchange.com/questions/3192/gauge-transformations-in-differential-forms | ||
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[[분류:math and physics]] | [[분류:math and physics]] | ||
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| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q7917791 Q7917791] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'vector'}, {'OP': '*'}, {'LOWER': 'valued'}, {'LOWER': 'differential'}, {'LEMMA': 'form'}] | ||
2021년 2월 17일 (수) 02:40 기준 최신판
introduction
exercise from Chern-Simons theory
\[S=\frac{k}{4\pi}\int_M \text{tr}\,(A\wedge dA+\tfrac{2}{3}A\wedge A\wedge A)=\frac{k}{4\pi}\int_M \text{tr}\,(A\wedge dA+\tfrac{1}{3}A\wedge [A,A])\]
Let \(A=(a_1dx+A_1 dt)\otimes X_1 +(a_2dx+A_2dt)\otimes X_2\) be a vector valued form \[A\wedge A =(a_1A_2-a_2A_1)dx\wedge dt \otimes [X_1, X_2]\] \[[A,A]=2(a_1A_2-a_2A_1)dx\wedge dt \otimes [X_1, X_2]\]
- http://library.wolfram.com/infocenter/MathSource/683/
- http://en.wikipedia.org/wiki/Vector-valued_form
- chapter 8 of [Notes on Differential Geometry and Lie Groups http://www.cis.upenn.edu/%7Ecis610/diffgeom-n.pdf] by Jean Gallier
- Integrable Hamiltonian hierarchies: spectral and geometric methods http://books.google.com/books?id=uoWMwhA4UNkC&pg=PA466&lpg=PA466&dq=commutator+vector+valued+forms&source=bl&ots=BAl_WcubCU&sig=Hn05qnd8ahVchDY3U3uOerMQ4kY&hl=ko&ei=ZYefTdWnN4fbiALArfyCAw&sa=X&oi=book_result&ct=result&resnum=5&ved=0CDsQ6AEwBA#v=onepage&q=commutator%20vector%20valued%20forms&f=false
- http://math.stackexchange.com/questions/3192/gauge-transformations-in-differential-forms
encyclopedia
question and answers(Math Overflow)
- http://math.stackexchange.com/questions/5962/some-questions-about-differential-forms
- http://math.stackexchange.com/questions/3194/taking-trace-of-vector-valued-differential-forms
- http://mathoverflow.net/questions/31905/some-basic-questions-about-chern-simons-theory
- http://mathoverflow.net/questions/12248/gauge-connections-and-lie-algebras
- http://mathoverflow.net/questions/36178/what-is-the-trace-in-the-chern-simons-action
메타데이터
위키데이터
- ID : Q7917791
Spacy 패턴 목록
- [{'LOWER': 'vector'}, {'OP': '*'}, {'LOWER': 'valued'}, {'LOWER': 'differential'}, {'LEMMA': 'form'}]