2011Huadong Shifan Daxue xuebao. Ziran kexue banRequires access

On two-parameter quantum supergroup of Lie superalgebra osp(1|2n)

Guohong Shi

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Abstract

A definition of U_(r,s)(osp(1|2n)) was given,together with the Z_2 graded Hopf algebra structure.An isomorphim between U_(r,s)(osp(1|2n)) and D(B,B') was determined from the extended definition of the Drinfel'd quantum double.By constructing Scasimir operator,the center of U_(r,s)(osp(1|2)) was obtained.

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A definition of U_(r,s)(osp(1|2n)) was given,together with the Z_2 graded Hopf algebra structure.An isomorphim between U_(r,s)(osp(1|2n)) and D(B,B') was determined from the extended definition of the Drinfel'd quantum double.By constructing Scasimir operator,the center of U_(r,s)(osp(1|2)) was obtained.

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Available abstract

A definition of U_(r,s)(osp(1|2n)) was given,together with the Z_2 graded Hopf algebra structure.An isomorphim between U_(r,s)(osp(1|2n)) and D(B,B') was determined from the extended definition of the Drinfel'd quantum double.By constructing Scasimir operator,the center of U_(r,s)(osp(1|2)) was obtained.

Key concepts: Supergroup, Lie superalgebra, Pure mathematics, Superalgebra, Mathematics, Quantum, Center (category theory), Operator (biology)

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