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تسجيل مستخدم جديدBased modules over the $imath$quantum group of type AI
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تأليف
Hideya Watanabe
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This paper studies classical weight modules over the $imath$quantum group $mathbf{U}^{imath}$ of type AI. We introduce the notion of based $mathbf{U}^{imath}$-modules by generalizing the notion of based modules over the quantum groups. We prove that each finite-dimensional irreducible classical weight $mathbf{U}^{imath}$-module with integer highest weight is a based $mathbf{U}^{imath}$-module. As a byproduct, a new combinatorial formula for the branching rule from $mathfrak{sl}_n$ to $mathfrak{so}_n$ is obtained.
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