Fractional superLie algebras and groups

H. Ahmedov; A. Yildiz; Y. Ucan

doi:10.1088/0305-4470/34/33/306

Fractional superLie algebras and groups

H. Ahmedov^*, A. Yildiz, Y. Ucan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

The nth root of a Lie algebra and its dual (that is the fractional supergroup) based on the permutation group S_n invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S₃-graded sl(2) algebras is performed.

Original language	English
Pages (from-to)	6413-6423
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	33
DOIs	https://doi.org/10.1088/0305-4470/34/33/306
Publication status	Published - 24 Aug 2001
Externally published	Yes

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title = "Fractional superLie algebras and groups",

abstract = "The nth root of a Lie algebra and its dual (that is the fractional supergroup) based on the permutation group Sn invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S3-graded sl(2) algebras is performed.",

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AU - Ahmedov, H.

AU - Yildiz, A.

AU - Ucan, Y.

PY - 2001/8/24

Y1 - 2001/8/24

N2 - The nth root of a Lie algebra and its dual (that is the fractional supergroup) based on the permutation group Sn invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S3-graded sl(2) algebras is performed.

AB - The nth root of a Lie algebra and its dual (that is the fractional supergroup) based on the permutation group Sn invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S3-graded sl(2) algebras is performed.

UR - https://www.scopus.com/pages/publications/0035943583

U2 - 10.1088/0305-4470/34/33/306

DO - 10.1088/0305-4470/34/33/306

M3 - Article

AN - SCOPUS:0035943583

SN - 0305-4470

VL - 34

SP - 6413

EP - 6423

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 33

ER -

Fractional superLie algebras and groups

Abstract

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