Invariant theory of ıquantum groups of type AIII

Li Luo; Zheming Xu

doi:10.1007/s11005-024-01790-3

Invariant theory of ıquantum groups of type AIII

Li Luo^*
, Zheming Xu

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

Abstract

We develop an invariant theory of quasi-split ıquantum groups U_n^ı of type AIII on a tensor space associated to ıHowe dualities. The first and second fundamental theorems for U_n^ı-invariants are derived.

Original language	English
Article number	46
Journal	Letters in Mathematical Physics
Volume	114
Issue number	2
DOIs	https://doi.org/10.1007/s11005-024-01790-3
State	Published - Apr 2024

Keywords

16W22
17B37
Howe duality
Invariant theory
Quantum coordinate algebra
ıquantum group

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10.1007/s11005-024-01790-3

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title = "Invariant theory of ıquantum groups of type AIII",

abstract = "We develop an invariant theory of quasi-split ıquantum groups Unı of type AIII on a tensor space associated to ıHowe dualities. The first and second fundamental theorems for Unı-invariants are derived.",

keywords = "16W22, 17B37, Howe duality, Invariant theory, Quantum coordinate algebra, ıquantum group",

author = "Li Luo and Zheming Xu",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature B.V. 2024.",

year = "2024",

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doi = "10.1007/s11005-024-01790-3",

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AU - Xu, Zheming

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PY - 2024/4

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AB - We develop an invariant theory of quasi-split ıquantum groups Unı of type AIII on a tensor space associated to ıHowe dualities. The first and second fundamental theorems for Unı-invariants are derived.

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KW - Howe duality

KW - Invariant theory

KW - Quantum coordinate algebra

KW - ıquantum group

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DO - 10.1007/s11005-024-01790-3

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VL - 114

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

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Invariant theory of ıquantum groups of type AIII

Abstract

Keywords

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