000 02407nam a22004695i 4500
001 978-1-4020-2297-5
003 DE-He213
005 20251006084448.0
007 cr nn 008mamaa
008 100301s2005 ne | s |||| 0|eng d
020 _a9781402022975
020 _a99781402022975
024 7 _a10.1007/1-4020-2297-2
_2doi
082 0 4 _a516.36
_223
100 1 _aTuynman, Gijs M.
_eauthor.
245 1 0 _aSupermanifolds and Supergroups
_h[electronic resource] :
_bBasic Theory /
_cby Gijs M. Tuynman.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2005.
300 _aXIII, 416 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematics and Its Applications ;
_v570
505 0 _a$$ \mathfrak{A} $$ -graded commutative linear algebra -- Linear algebra of free graded A-modules -- Smooth functions and A-manifolds -- Bundles -- The tangent space -- A-Lie groups -- Connections.
520 _aSupermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
650 0 _aMATHEMATICS.
650 0 _aALGEBRA.
650 0 _aTOPOLOGICAL GROUPS.
650 0 _aGLOBAL DIFFERENTIAL GEOMETRY.
650 1 4 _aMATHEMATICS.
650 2 4 _aDIFFERENTIAL GEOMETRY.
650 2 4 _aTOPOLOGICAL GROUPS, LIE GROUPS.
650 2 4 _aNON-ASSOCIATIVE RINGS AND ALGEBRAS.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402022968
830 0 _aMathematics and Its Applications ;
_v570
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-2297-2
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c60220
_d60220