glossarylist.tex

\glsxtrnewsymbol[description={adjoint representation}]{adjoint representation}{\ensuremath{\ad}}
\glsxtrnewsymbol[description={the space of bilinear forms~$V \times W \to \kf$}]{bilinear forms}{\ensuremath{\BF(V,W)}}
\glsxtrnewsymbol[description={center of~$\glie$}]{center}{\ensuremath{\centerlie(\glie)}}
\glsxtrnewsymbol[description={$i$-th term of the central series of~$\glie$}]{central series}{\ensuremath{\glie^i}}
\glsxtrnewsymbol[description={centralizer of~$U$ in~$\glie$}]{centralizer of space}{\ensuremath{\centerlie_{\glie}(U)}}
\glsxtrnewsymbol[description={centralizer of~$x$ in~$\glie$}]{centralizer of element}{\ensuremath{\centerlie_{\glie}(x)}}
\glsxtrnewsymbol[description={commutator of~$X$ and~$Y$}]{commutator space}{\ensuremath{[X,Y]}}
\glsxtrnewsymbol[description={space of derivations of~$A$}]{derivations}{\ensuremath{\Der(A)}}
\glsxtrnewsymbol[description={$i$-th term of the derived series of~$\glie$}]{derived series}{\ensuremath{\glie^{(i)}}}
\glsxtrnewsymbol[description={exterior algebra of~$V$}]{exterior algebra}{\ensuremath{\bigwedge(V)}}
\glsxtrnewsymbol[description={category of filtered~{\algebras{$\kf$}}}]{filtered algebras}{\ensuremath{\cfAlg{\kf}}}
\glsxtrnewsymbol[description={general linear Lie algebra}]{general lie matrix}{\ensuremath{\gllie_n(\kf)}}
\glsxtrnewsymbol[description={general linear Lie algebra of~$V$}]{general lie endomorphism}{\ensuremath{\gllie(V)}}
\glsxtrnewsymbol[description={category of graded~{\algebras{$\kf$}}}]{graded algebras}{\ensuremath{\cgAlg{\kf}}}
\glsxtrnewsymbol[description={interal semidirect product}]{internal semidirect product}{\ensuremath{\hlie \ltimes I}}
\glsxtrnewsymbol[description={space of invariants for a representation~$V$ of~$\glie$}]{invariants}{\ensuremath{V^{\glie}}}
\glsxtrnewsymbol[description={Killing form}]{killing form}{\ensuremath{\kappa}}
\glsxtrnewsymbol[description={Lie bracket}]{lie bracket}{\ensuremath{[-,-]}}
\glsxtrnewsymbol[description={Lie ideal}]{lie ideal}{\ensuremath{\ideal}}
\glsxtrnewsymbol[description={loop Lie~algebra of~$\glie$}]{loop lie algebra}{\ensuremath{\looplie(\glie)}}
\glsxtrnewsymbol[description={category of left~\modules{$A$}}]{module category}{\ensuremath{\cMod{A}}}
\glsxtrnewsymbol[description={monoid algabra of~$M$}]{monoid algebra}{\ensuremath{\kf[M]}}
\glsxtrnewsymbol[description={nilpotent part of~$x$}]{nilpotent part}{\ensuremath{x_n}}
\glsxtrnewsymbol[description={normalizer of~$U$ in~$\glie$}]{normalizer}{\ensuremath{\normallie_{\glie}(U)}}
\glsxtrnewsymbol[description={Ore extension}]{ore extension}{\ensuremath{R[t;\sigma,\delta]}}
\glsxtrnewsymbol[description={product of~$\glie$ and~$\hlie$}]{product of lie algebras}{\ensuremath{\glie \times \hlie}}
\glsxtrnewsymbol[description={quotient Lie~algebra of~$\glie$ by~$I$}]{quotient lie algebra}{\ensuremath{\glie/I}}
\glsxtrnewsymbol[description={quotient representation of~$V$ by~$U$}]{quotient representation}{\ensuremath{V/U}}
\glsxtrnewsymbol[description={radical of~$\glie$}]{radical}{\ensuremath{\rad \glie}}
\glsxtrnewsymbol[description={radical of~$\beta$}]{radical bilinear}{\ensuremath{\rad \beta}}
\glsxtrnewsymbol[description={category of~{\representations{$\glie$}}}]{representation category}{\ensuremath{\cRep{\glie}}}
\glsxtrnewsymbol[description={space of homomorphisms of representations~$V \to W$}]{rep homo}{\ensuremath{\Hom_{\glie}(V,W)}}
\glsxtrnewsymbol[description={endomorphism algebra of a representation~$V$}]{rep endo}{\ensuremath{\End_{\glie}(V)}}
\glsxtrnewsymbol[description={semidirect product of~$\hlie$ by~$I$ over~$\theta$}]{semidirect product}{\ensuremath{\hlie \ltimes_\theta I}}
\glsxtrnewsymbol[description={semisimple part of~$x$}]{semisimple part}{\ensuremath{x_s}}
\glsxtrnewsymbol[description={skew polynomial algebra}]{skew polynomial algebra}{\ensuremath{R[t;\delta]}}
\glsxtrnewsymbol[description={special linear Lie algebra}]{special lie matrix}{\ensuremath{\sllie_n(\kf)}}
\glsxtrnewsymbol[description={special linear Lie algebra of~$V$}]{special lie endomorphism}{\ensuremath{\sllie_n(V)}}
\glsxtrnewsymbol[description={standard basis vector of~$\sllie_2(\kf)$}]{standard basis e}{\ensuremath{e}}
\glsxtrnewsymbol[description={standard basis vector of~$\sllie_2(\kf)$}]{standard basis f}{\ensuremath{f}}
\glsxtrnewsymbol[description={standard basis vector of~$\sllie_2(\kf)$}]{standard basis h}{\ensuremath{h}}
\glsxtrnewsymbol[description={Lie algebra of strictly upper triangular matrices}]{strictly triangular lie matrix}{\ensuremath{\nlie_n(\kf)}}
\glsxtrnewsymbol[description={symmetric algebra of~$V$}]{symmetric algebra}{\ensuremath{\Symm(V)}}
\glsxtrnewsymbol[description={tensor algebra of~$V$}]{tensor algebra}{\ensuremath{\Tensor(V)}}
\glsxtrnewsymbol[description={Lie algebra of upper triangular matrices}]{triangular lie matrix}{\ensuremath{\tlie_n(\kf)}}
\glsxtrnewsymbol[description={universal enveloping algebra of~$\glie$}]{universal enveloping algebra}{\ensuremath{\Univ(\glie)}}
\glsxtrnewsymbol[description={weight space}]{weight space}{\ensuremath{V_\lambda}}