대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권4호
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  • Pages.1025-1034
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ANNIHILATOR IDEALS OF SIMPLE MODULES OF RESTRICTED QUANTIZED ENVELOPING ALGEBRA

  • Yu Wang (School of Mathematics and Physics Jiangsu University of Technology)
  • 투고 : 2022.07.03
  • 심사 : 2023.03.30
  • 발행 : 2023.07.31
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초록

Let U be the restricted quantized enveloping algebra Ũq(𝖘𝖑2) over an algebraically closed field of characteristic zero, where q is a primitive 𝑙-th root of unity (with 𝑙 being odd and greater than 1). In this paper we show that any indecomposable submodule of U under the adjoint action is generated by finitely many special elements. Using this result we describe all ideals of U. Moreover, we classify annihilator ideals of simple modules of U by generators.

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과제정보

The author would like to express gratitude to Professor Libin Li for his helpful suggestions and constructive comments. The author also wishes to thank the reviewer for his or her careful review.

참고문헌

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