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Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 19X/5 ( reviews)

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Book Synopsis Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines by : Hagen Meltzer

Download or read book Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines written by Hagen Meltzer. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.

Representation Theory of Geigle-Lenzing Complete Intersections

2023-05-23 Mathematics
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Release : 2023-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Representation Theory of Geigle-Lenzing Complete Intersections by : Martin Herschend

Download or read book Representation Theory of Geigle-Lenzing Complete Intersections written by Martin Herschend. This book was released on 2023-05-23. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?

Representations of Algebras and Related Topics

2011 Algebra
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Release : 2011
Genre : Algebra
Kind : eBook
Book Rating : 019/5 ( reviews)

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Book Synopsis Representations of Algebras and Related Topics by : Andrzej Skowroński

Download or read book Representations of Algebras and Related Topics written by Andrzej Skowroński. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.

Noncommutative Curves of Genus Zero

2009-08-07 Mathematics
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Release : 2009-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 008/5 ( reviews)

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Book Synopsis Noncommutative Curves of Genus Zero by : Dirk Kussin

Download or read book Noncommutative Curves of Genus Zero written by Dirk Kussin. This book was released on 2009-08-07. Available in PDF, EPUB and Kindle. Book excerpt: In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that each such curve $\mathbb{X}$ admits, up to some weighting, a projective coordinate algebra which is a not necessarily commutative graded factorial domain $R$ in the sense of Chatters and Jordan. Moreover, there is a natural bijection between the points of $\mathbb{X}$ and the homogeneous prime ideals of height one in $R$, and these prime ideals are principal in a strong sense.

Infinite Dimensional Complex Symplectic Spaces

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 459/5 ( reviews)

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Book Synopsis Infinite Dimensional Complex Symplectic Spaces by : William Norrie Everitt

Download or read book Infinite Dimensional Complex Symplectic Spaces written by William Norrie Everitt. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.

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