Free quantum analogue of Coxeter group D4

نویسندگان

چکیده

We define the quantum group D4+ – a free version of demihyperoctahedral D4 (the smallest representative Coxeter series D). In order to do so, we construct analogue property that 4×4 matrix has determinant one. Such analogues determinants are usually very hard for groups in general and our result only holds size N=4. The is then defined by imposing this generalized condition on hyperoctahedral H4+. Moreover, give detailed combinatorial description representation category D4+.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.03.036