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You searched for subject:(classical invariant theory). Showing records 1 – 2 of 2 total matches.

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1. MA JIAJUN. Two Topics on Local Theta Correspondence.

Degree: 2012, National University of Singapore

Subjects/Keywords: Representation theory of classical groups; local theta correspondence; invariant theory; transfer of K-type; associated cycle; highest weight module

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APA (6th Edition):

JIAJUN, M. (2012). Two Topics on Local Theta Correspondence. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/36425

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

JIAJUN, MA. “Two Topics on Local Theta Correspondence.” 2012. Thesis, National University of Singapore. Accessed September 30, 2020. http://scholarbank.nus.edu.sg/handle/10635/36425.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

JIAJUN, MA. “Two Topics on Local Theta Correspondence.” 2012. Web. 30 Sep 2020.

Vancouver:

JIAJUN M. Two Topics on Local Theta Correspondence. [Internet] [Thesis]. National University of Singapore; 2012. [cited 2020 Sep 30]. Available from: http://scholarbank.nus.edu.sg/handle/10635/36425.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

JIAJUN M. Two Topics on Local Theta Correspondence. [Thesis]. National University of Singapore; 2012. Available from: http://scholarbank.nus.edu.sg/handle/10635/36425

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Im, Mee Seong. On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution.

Degree: PhD, 0439, 2014, University of Illinois – Urbana-Champaign

We introduce the notion of filtered representations of quivers, which is related to usual quiver representations, but is a systematic generalization of conjugacy classes of n ×  n matrices to (block) upper triangular matrices up to conjugation by invertible (block) upper triangular matrices. With this notion in mind, we describe the ring of invariant polynomials for interesting families of quivers, namely, finite ADE-Dynkin quivers and affine type \widetilde{A}-Dynkin quivers. We then study their relation to an important and fundamental object in representation theory called the Grothendieck-Springer resolution, and we conclude by stating several conjectures, suggesting further research. Advisors/Committee Members: Nevins, Thomas A. (advisor), Kedem, Rinat (Committee Chair), Nevins, Thomas A. (committee member), Bergvelt, Maarten J. (committee member), Schenck, Henry K. (committee member).

Subjects/Keywords: Algebraic geometry; representation theory; quiver varieties; filtered quiver variety; quiver flag variety; semi-invariant polynomials; invariant subring; Derksen-Weyman; Domokos-Zubkov; Schofield-van den Bergh; ADE-Dynkin quivers; affine Dynkin quivers; quivers with at most two pathways between any two vertices; filtration of vector spaces; classical invariant theory; the Hamiltonian reduction of the cotangent bundle of the enhanced Grothendieck-Springer resolution; almost-commuting varieties; affine quotient

…This amounts to a generalization of classical problems of invariant theory to this new… …triangular change of basis. Next, we introduce some definitions from invariant theory. Let χ : G… …invariant theory of semisimple or reductive groups and do not apply in the filtered situation. As… …invariant polynomials for acyclic quivers by using representation theory techniques, and in 2001… …x5D;, which coincides with the classical result that generators of the ring of invariant… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Im, M. S. (2014). On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/49392

Chicago Manual of Style (16th Edition):

Im, Mee Seong. “On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 30, 2020. http://hdl.handle.net/2142/49392.

MLA Handbook (7th Edition):

Im, Mee Seong. “On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution.” 2014. Web. 30 Sep 2020.

Vancouver:

Im MS. On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/2142/49392.

Council of Science Editors:

Im MS. On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/49392

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