Framed moduli and Grassmannians of submodules
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- by Stanislav Fedotov PDF
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Abstract:
In this work we study a realization of moduli spaces of framed quiver representations as Grassmannians of submodules devised by Markus Reineke. Obtained is a generalization of this construction to finite dimensional associative algebras and for quivers with oriented cycles over an arbitrary infinite field. As an application we get an explicit realization of fibers for the moduli space bundle over the categorical quotient for the quiver $A_{n-1}^{(1)}$ and the ground fields $\mathbb {C}$ and $\mathbb {R}$.References
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Additional Information
- Stanislav Fedotov
- Affiliation: Department of Higher Algebra, Main Building, Moscow State University, GSP-1, 1 Leninskiye Gory, Moscow, 119991 Russia
- Email: glwrath@yandex.ru
- Received by editor(s): December 28, 2010
- Received by editor(s) in revised form: November 11, 2011
- Published electronically: February 14, 2013
- Additional Notes: This work was supported by grant RFFI 09-01-90416 - Ukr-f-a
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 4153-4179
- MSC (2010): Primary 14D22; Secondary 16G10, 16G20
- DOI: https://doi.org/10.1090/S0002-9947-2013-05764-9
- MathSciNet review: 3055692