Mixed tensors of the general linear supergroup
نویسندگان
چکیده
منابع مشابه
Donkin-Koppinen filtration for general linear supergroup
In this article we consider a generalization of Donkon-Koppinen filtrations for coordinate superalgebras of general linear supergroups. More precisely, if G = GL(m|n) is a general linear supergroup of (super)degree (m|n), then its coordinate superalgebra K[G] is a natural G × G-supermodule. For any finitely generated ideal Γ ⊆ Λ × Λ the largest supersubmodule OΓ(K[G]), whose all composition fac...
متن کاملStructure and Representations of the Quantum General Linear Supergroup
The structure and representations of the quantum general linear supergroup GLq(m|n) are studied systematically by investigating the Hopf superalgebra Gq of its representative functions. Gq is factorized into G π q G π̄ q , and a Peter Weyl basis is constructed for each factor. Parabolic induction for the quantum supergroup is developed. The underlying geometry of induced representations is discu...
متن کاملDual Canonical Bases for the Quantum General Linear Supergroup
Dual canonical bases of the quantum general linear supergroup are constructed which are invariant under the multiplication of the quantum Berezinian. By setting the quantum Berezinian to identity, we obtain dual canonical bases of the quantum special linear supergroup Oq(SLm|n). We apply the canonical bases to study invariant subalgebras of the quantum supergroups under left and right translati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.08.012