# Skein algebra of a group

Banach Center Publications (1998)

- Volume: 42, Issue: 1, page 297-306
- ISSN: 0137-6934

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topPrzytycki, Józef, and Sikora, Adam. "Skein algebra of a group." Banach Center Publications 42.1 (1998): 297-306. <http://eudml.org/doc/208813>.

@article{Przytycki1998,

abstract = {We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2,C)-representations of G. We also solve, for abelian groups, the conjecture of Bullock on SL(2,C) character varieties of groups - we show that skein algebras are isomorphic to the coordinate rings of the corresponding character varieties.},

author = {Przytycki, Józef, Sikora, Adam},

journal = {Banach Center Publications},

keywords = {Kauffman bracket skein module},

language = {eng},

number = {1},

pages = {297-306},

title = {Skein algebra of a group},

url = {http://eudml.org/doc/208813},

volume = {42},

year = {1998},

}

TY - JOUR

AU - Przytycki, Józef

AU - Sikora, Adam

TI - Skein algebra of a group

JO - Banach Center Publications

PY - 1998

VL - 42

IS - 1

SP - 297

EP - 306

AB - We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2,C)-representations of G. We also solve, for abelian groups, the conjecture of Bullock on SL(2,C) character varieties of groups - we show that skein algebras are isomorphic to the coordinate rings of the corresponding character varieties.

LA - eng

KW - Kauffman bracket skein module

UR - http://eudml.org/doc/208813

ER -

## References

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