일반 선형군의 표현론

개요

• 일반 선형군 (general linear group)

메모

• 유한체 위의 일반 선형군 http://groupprops.subwiki.org/wiki/Linear_representation_theory_of_general_linear_group:GL%282,3%29
• http://www.maa.org/programs/maa-awards/writing-awards/representations-of-sl-2p

관련된 항목들

• 대칭군의 표현론

사전 형태의 자료

• http://en.wikipedia.org/wiki/Schur_algebra

관련도서

• Green, J. A. 2007. Polynomial Representations of $\rm GL_n$. augmented. Vol. 830. Lecture Notes in Mathematics. Berlin: Springer. http://www.ams.org/mathscinet-getitem?mr=2349209.

리뷰, 에세이, 강의노트

• Hashimoto, Schur algebras
• Wildon, Notes on polynomial representations of general linear groups
• Green, James A. 1981. “Polynomial Representations of GLn.” In Algebra Carbondale 1980, edited by Ralph K. Amayo, 124–140. Lecture Notes in Mathematics 848. Springer Berlin Heidelberg. http://link.springer.com/chapter/10.1007/BFb0090560.
• IX: Irreducible Polynomial Representations of GL(m). 2012. http://www.youtube.com/watch?v=2BGLPUjqAzE&feature=youtube_gdata_player.
• VIII: Schur Algebras and Polynomial Representations of GL(m). 2012. http://www.youtube.com/watch?v=cjhBwBlf_vk&feature=youtube_gdata_player.

관련논문

• Guan, Yonghui. “Brill’s Equations as a GL(V)-Module.” arXiv:1508.02293 [math], August 10, 2015. http://arxiv.org/abs/1508.02293.