Fiebig P (2027)
Publication Language: English
Publication Status: Submitted
Publication Type: Unpublished / Preprint
Future Publication Type: Journal article
Publication year: 2027
For a root system $R$, a field $\SK$ and an invertible element $q$ in $\SK$ let $U_{(\SK,q)}(R)$ be the associated quantum group, defined via Lusztig's divided powers construction. We study the irreducible characters of this algebra with integral (but not necessarily dominant) highest weight. If $\sigma_l(q)=0$, where $\sigma_l$ is the $l$-th cyclotomic polynomial, then these characters exhibit a certain $l$-periodicity. For this we realize the irreducible representations as a quotient of a space spanned by simple root paths in the weight lattice.
APA:
Fiebig, P. (2027). Periodicity of irreducible modular and quantum characters. (Unpublished, Submitted).
MLA:
Fiebig, Peter. Periodicity of irreducible modular and quantum characters. Unpublished, Submitted. 2027.
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