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Sets of covariant and contravariant spinors for SUq(2) and alternative quantizations

C Quesne

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m sets of covariant and contravariant q- bosonic spinors acting in the tensor product of m Fock spaces are constructed and their q-commutation relations determined. Both their transformation properties under the q-algebra suq(2) and its dual matrix pseudogroup SUq(2) are considered. It is proved that for m>1 the contravariant spinors are not related to the covariant ones through Hermitian conjugation. Similar results are also obtained for q-fermionic spinors.


PACS

02.10.Ud Linear algebra

02.10.Yn Matrix theory

02.20.Uw Quantum groups

MSC

17B37 Quantum groups (quantized enveloping algebras) and related deformations (See also 16W35, 20G42, 81R50, 82B23)

15A69 Multilinear algebra, tensor products

15A66 Clifford algebras, spinors

Subjects

Mathematical physics

Dates

Issue 6 (21 March 1993)



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