Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new realization of the i-quantum group U^j(n)   We follow the approach developed by Beilinson-Lusztig-MacPherson and modified
by Fu and the first author to investigate a new realization for the i-quantum
groups U^j(n) of type B, building on the multiplication formulas discovered in
[BKLW,Lem.~3.2]. This allows us to present U^j(n) via a basis and
multiplication formulas by generators. We also establish a surjective algebra
homomorphism from a Lusztig type form of U^j(n) to integral q-Schur algebras of
type B. Thus, base changes allow us to relate representations of the i-quantum
hyperalgebras of U^j(n) to representations of finite orthogonal groups of odd
degree in non-defining characteristics. This generalizes part of Dipper--James'
type A theory to the type B case.

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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc