# $G{L}_{n}$-Invariant tensors and graphs

Archivum Mathematicum (2008)

- Volume: 044, Issue: 5, page 449-463
- ISSN: 0044-8753

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topMarkl, Martin. "$GL_n$-Invariant tensors and graphs." Archivum Mathematicum 044.5 (2008): 449-463. <http://eudml.org/doc/250506>.

@article{Markl2008,

abstract = {We describe a correspondence between $\mbox\{GL\}_n$-invariant tensors and graphs. We then show how this correspondence accommodates various types of symmetries and orientations.},

author = {Markl, Martin},

journal = {Archivum Mathematicum},

keywords = {invariant tensor; general linear group; graph; invariant tensors; general linear groups; graphs},

language = {eng},

number = {5},

pages = {449-463},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {$GL_n$-Invariant tensors and graphs},

url = {http://eudml.org/doc/250506},

volume = {044},

year = {2008},

}

TY - JOUR

AU - Markl, Martin

TI - $GL_n$-Invariant tensors and graphs

JO - Archivum Mathematicum

PY - 2008

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 044

IS - 5

SP - 449

EP - 463

AB - We describe a correspondence between $\mbox{GL}_n$-invariant tensors and graphs. We then show how this correspondence accommodates various types of symmetries and orientations.

LA - eng

KW - invariant tensor; general linear group; graph; invariant tensors; general linear groups; graphs

UR - http://eudml.org/doc/250506

ER -

## References

top- Fuks, D. B., Cohomology of infinite dimensional Lie algebras. (Kogomologii beskonechnomernykh algebr Li), Kogomologii beskonechnomernykh algebr Li), Nauka, Moskva, 1984. (1984) Zbl0592.17011MR0772201
- Kauffman, L. H., Knots and Physics, Series on Knots and Everything , Vol. 1, World Scientific, 1991. (1991) Zbl0733.57004MR1141156
- Kolář, I, Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. (1993) MR1202431
- Kontsevich, M., Formal (non)commutative symplectic geometry, The Gel'fand mathematics seminars 1990–1992, Birkhäuser, 1993. (1993) Zbl0821.58018MR1247289
- Markl, M., Natural differential operators and graph complexes, Preprint math.DG/0612183, December 2006. To appear in Differential Geometry and its Applications. Zbl1165.51005MR2503978
- Markl, M., Merkulov, S. A., Shadrin, S., Wheeled PROPs, graph complexes and the master equation, Preprint math.AG/0610683, October 2006. To appear in Journal of Pure and Applied Algebra. MR2483835
- Weyl, H., The classical groups. Their invariants and representations. Fifteenth printing, Princeton University Press, 1997. (1997) MR1488158

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