Partially defined cocycles and the Maslov index for a local ring

Amedeo Mazzoleni[1]

  • [1] via Magoria 4, 6500 Bellinzona (Italie)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 4, page 875-885
  • ISSN: 0373-0956

Abstract

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In this paper we study some aspects of the cohomology of groups and we construct a central extension of the symplectic group S p n ( A ) .

How to cite

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Mazzoleni, Amedeo. "Partially defined cocycles and the Maslov index for a local ring." Annales de l’institut Fourier 54.4 (2004): 875-885. <http://eudml.org/doc/116136>.

@article{Mazzoleni2004,
abstract = {In this paper we study some aspects of the cohomology of groups and we construct a central extension of the symplectic group $Sp_n(A)$.},
affiliation = {via Magoria 4, 6500 Bellinzona (Italie)},
author = {Mazzoleni, Amedeo},
journal = {Annales de l’institut Fourier},
keywords = {cocycle; $m$-dense; simplicial set; Lagrangian; transversal; symplectic group; cocycles; dense subsets; Lagrangeans; simplicial sets; symplectic groups; cohomology of groups; central extensions; Witt groups},
language = {eng},
number = {4},
pages = {875-885},
publisher = {Association des Annales de l'Institut Fourier},
title = {Partially defined cocycles and the Maslov index for a local ring},
url = {http://eudml.org/doc/116136},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Mazzoleni, Amedeo
TI - Partially defined cocycles and the Maslov index for a local ring
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 4
SP - 875
EP - 885
AB - In this paper we study some aspects of the cohomology of groups and we construct a central extension of the symplectic group $Sp_n(A)$.
LA - eng
KW - cocycle; $m$-dense; simplicial set; Lagrangian; transversal; symplectic group; cocycles; dense subsets; Lagrangeans; simplicial sets; symplectic groups; cohomology of groups; central extensions; Witt groups
UR - http://eudml.org/doc/116136
ER -

References

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  1. K.S. Brown, Cohomology of Groups, (1982), Springer-Verlag, New York a.o. Zbl0584.20036MR672956
  2. G. Collinet, Quelques propriétés homologiques du groupe O n ( ℤ [ 1 2 ] ) , (2002) 
  3. R. Parimala, R. Preeti, R. Sridharan, Maslov index and a central extension of the symplectic group, -Theory 19 (2000), 29-45 Zbl1037.11026MR1740881

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