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pro vyhledávání: '"Bagci, Irfan"'
Given an algebraically closed field $\Bbbk$ of characteristic zero, a Lie superalgebra $\mathfrak{g}$ over $\Bbbk$ and an associative, commutative $\Bbbk$-algebra $A$ with unit, a Lie superalgebra of the form $\mathfrak{g} \otimes_\Bbbk A$ is known a
Externí odkaz:
http://arxiv.org/abs/1611.06349
Autor:
Bagci, Irfan
This paper describes finite dimensionall irreducible representations of both twisted and untwisted Cartan map Lie superalgebras.
Comment: Preliminray version. Comments welcome
Comment: Preliminray version. Comments welcome
Externí odkaz:
http://arxiv.org/abs/1508.00877
Autor:
Bagci, Irfan, Chamberlin, Samuel
Let $A$ be a commutative, associative algebra with unity over $\mathbb{C}$. Using the definition of global Weyl modules for the map superalgebras given by Calixto, Lemay, and Savage we explicitly describe the structure of certain quotients of the glo
Externí odkaz:
http://arxiv.org/abs/1505.07420
Autor:
Bagci, Irfan
Thesis (Ph. D.)--University of Georgia, 2009.
Directed by Daniel K. Nakano. Includes an article published in International mathematics research notices. For abstract see https://getd.libs.uga.edu/pdfs/bagci%5Firfan%5F200905%5Fphd.pdf. Includes b
Directed by Daniel K. Nakano. Includes an article published in International mathematics research notices. For abstract see https://getd.libs.uga.edu/pdfs/bagci%5Firfan%5F200905%5Fphd.pdf. Includes b
Autor:
Bagci, Irfan, Chamberlin, Samuel
In this paper we define integral forms for the universal enveloping superalgebras of the map superalgebras of Cartan type complex Lie superalgebras, and exhibit explicit integral bases for these integral forms.
Externí odkaz:
http://arxiv.org/abs/1308.2849
Autor:
Bagci, Irfan, Chamberlin, Samuel
Publikováno v:
Journal of Pure and Applied Algebra 218, no. 8, (2014), pp. 1563-1576
Let $\mathfrak{g}$ be a finite dimensional complex simple classical Lie superalgebra and $A$ be a commutative, associative algebra with unity over $\mathbb{C}$. In this paper we define an integral form for the universal enveloping algebra of the map
Externí odkaz:
http://arxiv.org/abs/1303.7223
Following analogous constructions for Lie algebras, we define Whittaker modules and Whittaker categories for finite-dimensional simple Lie superalgebras. Results include a decomposition of Whittaker categories for a Lie superalgebra according to the
Externí odkaz:
http://arxiv.org/abs/1201.5350
Autor:
Bagci, Irfan
Let $mathfrak{g}$ be a restricted Lie superalgebra over an algebraically closed field $k$ of characteristic $p>2$. Let $\mathfrak{u}(\mathfrak{g})$ denote the restricted enveloping algebra of $\mathfrak{g}$. In this paper we prove that the cohomology
Externí odkaz:
http://arxiv.org/abs/1109.6637
Autor:
Bagci, Irfan
Support varieties for Lie superalgebras over the complex numbers were introduced in \cite{BKN1} using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definitio
Externí odkaz:
http://arxiv.org/abs/1009.3534
Autor:
University of Georgia VIGRE Algebra Group, Bagci, Irfan, Boe, Brian D., Chastkofsky, Leonard, Connell, Benjamin, Jones, Benjamin, Li, Wenjing, Nakano, Daniel K., Platt, Kenyon J., Shin, Jae-Ho, Wright, Caroline B.
Publikováno v:
Proc. Amer. Math. Soc. 138 (2010), 85-99
We prove the analog of Kostant's Theorem on Lie algebra cohomology in the context of quantum groups. We prove that Kostant's cohomology formula holds for quantum groups at a generic parameter $q$, recovering an earlier result of Malikov in the case w
Externí odkaz:
http://arxiv.org/abs/0809.0838