지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
It is well-known that if ${\rm char}\k=0$, then an Artinian monomial complete intersection quotient $\k[x_1,\dots,x_n]/(x_1^{a_1},\dots,x_n^{a_n})$ has the strong Lefschetz property in the narrow sense, and it is decomposed by the direct sum of irreducible $\sl_2$-modules. For an Artinian ring $A=\k[x_1,x_2,x_3]/(x_1^6,x_2^6,x_3^6)$, by the Schur-Weyl duality theorem, there exist $56$ trivial representations, $70$ standard representations, and $20$ sign representations inside $A$. In this paper we find an explicit basis for $A$, which is compatible with the $S_3$-module structure.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
W. Fulton / 1997 / Young Tableaux / Cambridge University Press
W. Fulton / 1991 / Representation Theory / Springer-Verlag
R. Goodman / 1998 / Encyclopedia of Mathematics and its Applications / Cambridge University Press :68
T. Harima / 2013 / The Lefschetz properties / Lecture Notes in Mathematics 2080
T. Harima / 2003 / The weak and strong Lefschetz properties for Artinian K-algebras / J. Algebra 262(1):99~126
W. Fulton / 1991 / Representation Theory / Springer-Verlag
R. Goodman / 1998 / Encyclopedia of Mathematics and its Applications / Cambridge University Press :68
T. Harima / 2013 / The Lefschetz properties / Lecture Notes in Mathematics 2080
T. Harima / 2003 / The weak and strong Lefschetz properties for Artinian K-algebras / J. Algebra 262(1):99~126
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
The Artinian point star configuration quotient and the strong Lefschetz property
대한수학회지
2019 .01
-
An Artinian point-configuration quotient and the strong Lefschetz property
대한수학회지
2018 .01
-
On the strong no loop conjecture for Artinian rings with radical cubed zero
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
MODULES SATISFYING CERTAIN CHAIN CONDITIONS AND THEIR ENDOMORPHISMS
대한수학회보
2015 .01
-
A characterization of ω-Artinian modules
한국수학논문집
2020 .01
-
On subdirect product of prime modules
대한수학회논문집
2017 .01
-
On U-group Rings
대한수학회논문집
2018 .01
-
A generalization of $w$-linked extensions
대한수학회보
2022 .05
-
GENERALIZED QUASI-PRIMARY RINGS
Advanced Studies in Contemporary Mathematics
2018 .01
-
THE MINIMAL GRADED FREE RESOLUTION OF THE UNION OF TWO STAR CONFIGURATIONS IN 𝕡<sup>n</sup> AND THE WEAK LEFSCHETZ PROPERTY
충청수학회지
2017 .01
-
On Representable Rings and Modules
Kyungpook Mathematical Journal
2022 .09
-
Some new characterizations of quasi-Frobenius rings by using pure-injectivity
대한수학회보
2020 .01
-
Ore Extension Rings with Constant Products of Elements
Kyungpook Mathematical Journal
2019 .01
-
UN rings and group rings
대한수학회보
2023 .01
-
REDUCED MODULES AND STRONGLY REGULAR RINGS
East Asian Mathematical Journal
2017 .01
-
THE ARTINIAN QUOTIENT OF CODIMENSION n + 1
순수 및 응용수학
2019 .01
-
Rings and modules which are stable under nilpotents of their injective hulls
대한수학회보
2023 .03
-
Explicit Representation of Cloud Processes in Weather Models
한국기상학회 학술대회 논문집
2024 .10
-
A generalization of the symmetry property of a ring via its endomorphism
대한수학회논문집
2024 .04
-
Semisimple dimension of modules
대한수학회논문집
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0