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pro vyhledávání: '"16G20: 05C05"'
Autor:
Igusa, Kiyoshi, Sen, Emre
We show that exceptional sequences in the abelian tube of rank $n$, which we denote $\mathscr{ W}_n$, are related to exceptional sequences of type $B_n$ and $C_n$ and to those of type $B_{n-1}$ and $C_{n-1}$. $\mathscr{W}_n$ has $n^{n-1}$ exceptional
Externí odkaz:
http://arxiv.org/abs/2310.01700
Autor:
Igusa, Kiyoshi
We determine the probability distribution for relative projective objects in an exceptional sequence of type $A_n$ of any length. We show that these events (the $j$-th object in an exceptional sequence of length $k\le n$ being relatively projective)
Externí odkaz:
http://arxiv.org/abs/2112.04996
Autor:
Igusa, Kiyoshi, Sen, Emre
We give a representation-theoretic bijection between rooted labeled forests with $n$ vertices and complete exceptional sequences for the quiver of type $A_n$ with straight orientation. The ascending and descending vertices in the forest correspond to
Externí odkaz:
http://arxiv.org/abs/2108.11351
Autor:
Ringel, Claus Michael
Let k be a field and A the n-Kronecker algebra, this is the path algebra of the quiver with 2 vertices, a source and a sink, and n arrows from the source to the sink. It is well-known that the dimension vectors of the indecomposable A-modules are the
Externí odkaz:
http://arxiv.org/abs/1009.5635
Autor:
Lopatin, A. A.
Publikováno v:
Linear Algebra Appl., 434 (2011), N8, 1920-1944
A minimal (by inclusion) generating set for the algebra of semi-invariants of a quiver of dimension (2,...,2) is established over an infinite field of arbitrary characteristic. The mentioned generating set consists of the determinants of generic matr
Externí odkaz:
http://arxiv.org/abs/1004.3083
Autor:
Artem Lopatin
A minimal (by inclusion) generating set for the algebra of semi-invariants of a quiver of dimension (2,...,2) is established over an infinite field of arbitrary characteristic. The mentioned generating set consists of the determinants of generic matr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b028ae1fde01e8d3ef2ec7505c9cadfe
http://arxiv.org/abs/1004.3083
http://arxiv.org/abs/1004.3083
Autor:
Claus Michael Ringel
Let k be a field and Lambda the n-Kronecker algebra. This is the path algebra of the quiver with 2 vertices, a source and a sink, and n arrows from the source to the sink. It is well known that the dimension vectors of the indecomposable Lambda-modul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c434036cdc7b0bce8074f9c186c8f2fd