Fetching the paper…

Reading the bibliography…

2009

On Frobenius algebras in rigid monoidal categories

Fuchs, Jurgen, Stigner, Carl

Original
PDF
Post on X

Understand

We show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces to more general monoidal categories.

For Frobenius algebras, the appropriate setting is the one of rigid monoidal categories, and for symmetric Frobenius algebras it is the one of sovereign monoidal categories.
We also discuss some properties of Nakayama automorphisms.

On Frobenius algebras in rigid monoidal categories · Around

Built on

C.W. Curtis and I. Reiner,
1962
Earlier work this paper cites.
F.W. Lawvere,
1969
Earlier work this paper cites.
A. Joyal and R. Street,
1993
Earlier work this paper cites.
V.G. Turaev,
1994
Earlier work this paper cites.
C. Kassel,
1995
Earlier work this paper cites.
S. Majid,
1995
Earlier work this paper cites.
F. Quinn,
1995
Earlier work this paper cites.
L. Abrams,
1996
Earlier work this paper cites.
R. Longo and J.E. Roberts,
1997
Earlier work this paper cites.
F. Van Oystaeyen and Y.H. Zhang,
1998
Earlier work this paper cites.

Similar

L. Kadison,
1999
Cited alongside, same era.
T.Y. Lam,
1999
Cited alongside, same era.
N.P. Strickland,
2000
Cited alongside, same era.
J. Fuchs, I. Runkel, and C. Schweigert,
2002
Cited alongside, same era.
A.A. Kirillov and V. Ostrik,
2002
Cited alongside, same era.
J. Bichon and R. Street,
2003
Cited alongside, same era.
D.E. Evans and P.R. Pinto,
2003
Cited alongside, same era.
J. Fuchs and C. Schweigert,
2003

Then

R. Street,
2004
Later among the works it cites.
P.I. Etingof, D. Nikshych, and V. Ostrik,
2005
Later among the works it cites.
M. Müger,
2005
Later among the works it cites.
J. Fjelstad, J. Fuchs, I. Runkel, and C. Schweigert,
2006
Later among the works it cites.
J. Fröhlich, J. Fuchs, I. Runkel, and C. Schweigert,
2006
Later among the works it cites.
J. Fuchs,
2006
Later among the works it cites.
C. Schweigert, J. Fuchs, and I. Runkel,
2006
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

M. Müger,

2003

Cited alongside, same era.

J. Fuchs, I. Runkel, and C. Schweigert,

2004

Cited alongside, same era.

T. Barmeier, J. Fuchs, I. Runkel, and C. Schweigert,

Cited in the paper.

D. Chataur and L. Menichi,

Cited in the paper.

J. Fuchs, I. Runkel, and C. Schweigert,

2007

Later among the works it cites.

A. González, E. Lupercio, C. Segovia, B. Uribe, and M.A. Xicoténcatl,

2007

Later among the works it cites.