On representations of Clifford algebras of Ternary cubic forms

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2010-08-14

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Coşkun, Emre
Mustopa, Yusuf

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In this article, we provide an overview of a one-to-one correspondence between representations of the generalized Clifford algebra C-f of a ternary cubic form f and certain vector bundles (called Ulrich bundles) on a cubic surface X. We study general properties of Ulrich bundles, and using a recent classification of Casanellas and Hartshorne, deduce the existence of irreducible representations of C-f of every possible dimension.

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Binary

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https://hdl.handle.net/11511/46563

DOI

https://doi.org/10.1090/conm/562/11132

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Department of Mathematics, Conference / Seminar

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Citation Formats

E. Coşkun and Y. Mustopa, “On representations of Clifford algebras of Ternary cubic forms,” 2010, vol. 562, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46563.