Jump to content

Coset construction: Difference between revisions

From Wikipedia, the free encyclopedia
Content deleted Content added
m ISBNs (Build KE)
No edit summary
Line 5: Line 5:
* {{springer|author=Victor Kac|title=Virasoro algebra|id=Virasoro_algebra}}
* {{springer|author=Victor Kac|title=Virasoro algebra|id=Virasoro_algebra}}
*V. G. Kac, A. K. Raina, ''Bombay lectures on highest weight representations'', World Sci. (1987) ISBN 9971-5-0395-6
*V. G. Kac, A. K. Raina, ''Bombay lectures on highest weight representations'', World Sci. (1987) ISBN 9971-5-0395-6
*Kelly. C. Foster, [https://mysquareonecondo.ca/listing/aviva-condos-for-sale/ '' The Design and Construction Process'']
*A. J. Wassermann, [http://iml.univ-mrs.fr/~wasserm/ ''Lecture Notes on the Kac-Moody and Virasoro algebras'']
*A. J. Wassermann, [http://iml.univ-mrs.fr/~wasserm/ ''Lecture Notes on the Kac-Moody and Virasoro algebras'']



Revision as of 21:33, 7 May 2017

In mathematics, the coset construction (or GKO construction) is a method of constructing unitary highest weight representations of the Virasoro algebra, introduced by Peter Goddard, Adrian Kent and David Olive (1986). The construction produces the complete discrete series of highest weight representations of the Virasoro algebra and demonstrates their unitarity, thus establishing the classification of unitary highest weight representations.

References

  • P. Goddard, A. Kent and D. Olive Unitary representations of the Virasoro and super-Virasoro algebras Comm. Math. Phys. 103, no. 1 (1986), 105–119.
  • Victor Kac (2001) [1994], "Virasoro algebra", Encyclopedia of Mathematics, EMS Press
  • V. G. Kac, A. K. Raina, Bombay lectures on highest weight representations, World Sci. (1987) ISBN 9971-5-0395-6
  • Kelly. C. Foster, The Design and Construction Process
  • A. J. Wassermann, Lecture Notes on the Kac-Moody and Virasoro algebras