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Original scientific paper

https://doi.org/10.3336/gm.49.1.06

Root supermultiplicities and corresponding combinatorial identities for some Borcherds superalgebras

Neelacanta Sthanumoorthy ; The Ramanujan Institute for Advanced study in Mathematics, University of Madras, Chennai - 600 005, India
Kandasamy Priyadharsini ; The Ramanujan Institute for Advanced study in Mathematics, University of Madras, Chennai - 600 005, India


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Abstract

In this paper, root supermultiplicities and corresponding combinatorial identities for the Borcherds superalgebras which are extensions of A2 and A3 are found out. Moreover, superdimension formula for a Borcherds superalgebra which is an extension of a particular hyperbolic Kac-Moody algebra is also computed.

Keywords

Borcherds superalgebras; colored superalgebras; root supermultiplicities

Hrčak ID:

122520

URI

https://hrcak.srce.hr/122520

Publication date:

8.6.2014.

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