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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 601 - 612 (12page)
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Let $Q$ be the frame $g$-loop quiver, i.e.\ a generalized ADHM quiver obtained by replacing the two loops into $g$ loops.
The vector space $\bM$ of representations of $Q$ admits an involution $*$ if orthogonal and symplectic structures on the representation spaces are endowed.
We prove equivalence between semisimplicity of representations of the $*$-invariant subspace $\bN$ of $\bM$ and the orbit-closedness with respect to the natural adjoint action on $\bN$.
We also explain this equivalence in terms of King's stability \cite{King} and orthogonal decomposition of representations.
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참고문헌 (11)
참고문헌 신청
A. King / 1994 / Moduli of representations of finite dimensional algebras / Quart. J. Math. Oxford Ser. (2) 45 : 515 ~ 530
H. Nakajima / 1999 / Lectures on Hilbert schemes of points on surfaces / AMS
J. Choy / 2015 / Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions / Ph.D. / Kyoto Univ.
J. Choy / 2016 / Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions / J. Geom. Phys. 106 : 284 ~ 304
L. Le Bruyn / 1990 / Semisimple representations of quivers / Trans. Amer. Math. Soc. 317 (2) : 585 ~ 598
H. Nakajima / 1999 / Lectures on Hilbert schemes of points on surfaces / AMS
J. Choy / 2015 / Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions / Ph.D. / Kyoto Univ.
J. Choy / 2016 / Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions / J. Geom. Phys. 106 : 284 ~ 304
L. Le Bruyn / 1990 / Semisimple representations of quivers / Trans. Amer. Math. Soc. 317 (2) : 585 ~ 598
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