Tate Lie algebra: Difference between revisions
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==References== |
==References== |
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*{{Citation | last1=Arkhipov | first1=Sergey | title=Semiinfinite cohomology of Tate Lie algebras | url=http:// |
*{{Citation | last1=Arkhipov | first1=Sergey | title=Semiinfinite cohomology of Tate Lie algebras | url=http://arxiv.org/abs/math/0003015 |mr=1900583 | year=2002 | journal=Moscow Mathematical Journal | issn=1609-3321 | volume=2 | issue=1 | pages=35–40}} |
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*{{Citation | last1=Beilinson | first1=Alexander | last2=Feigin | first2=B. | last3=Mazur | first3=Barry | author3-link=Barry Mazur | title=Notes on Conformal Field Theory | url=http://www.math.sunysb.edu/~kirillov/manuscripts.html | series=Unpublished manuscript | year=1991}} |
*{{Citation | last1=Beilinson | first1=Alexander | last2=Feigin | first2=B. | last3=Mazur | first3=Barry | author3-link=Barry Mazur | title=Notes on Conformal Field Theory | url=http://www.math.sunysb.edu/~kirillov/manuscripts.html | series=Unpublished manuscript | year=1991}} |
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Revision as of 09:42, 11 October 2014
In mathematics, a Tate Lie algebra is a topological Lie algebra over a field whose underlying vector space is a Tate space (or Tate vector space), meaning that the topology has a base of commensurable subspaces. Tate spaces were introduced by Alexander Beilinson, B. Feigin, and Barry Mazur (1991), who named them after John Tate.
An example of a Tate Lie algebra is the Lie algebra of formal power series over a finite-dimensional Lie algebra.
References
- Arkhipov, Sergey (2002), "Semiinfinite cohomology of Tate Lie algebras", Moscow Mathematical Journal, 2 (1): 35–40, ISSN 1609-3321, MR 1900583
- Beilinson, Alexander; Feigin, B.; Mazur, Barry (1991), Notes on Conformal Field Theory, Unpublished manuscript