# Tagged Questions

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### Inverse of super matrices

I want to know that how does the inverse of a super matrix can be define?Is this inverse unique? If it is not can we find some equivalent relation that make this inverse unique up to equivalent class?
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### About $\mathrm{Cliff}(p,q)$ depending only on $p-q$ up to super Morita equivalence

Let $\mathsf{Alg}_\mathbb{R}$ be the category of $\mathbb{R}$-algebras and $\mathsf{SprAlg}_\mathbb{R}$ the category of $\mathbb{R}$-superalgebras. Recall two rings $A$ and $B$ are called Morita ...
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### Best texts on supermathematics for a mathematician?

I'm an undergraduate who's doing some summer mathematics research, and it looks like I need some information on Berezenians and supermatrices as well as supermathematics in general. The only text I ...
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### Examples of Supergroups: U(n | m), SU(N, n|m) and PSU(N, n|m).

Looking for explicit forms of group elements in the supergroups: (1) U(n | m), (2) SU(N, n|m), (3) PSU(N, n|m), (4) PSL(n|m), (5) OSp(n|m). We can simply take $N=2$, $n=1$ and $m=1$. Partial ...
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### The exterior algebra is a superalgebra?

Can someone explain how the exterior algebra of a vector space or a module over a commutative ring is a superalgebra? The exterior algebra has an obvious $\mathbb{Z}$-grading, but I don't see where ...
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### Sign convention for derivatives in a $\mathbb{Z}_2$ graded space

Suppose $V=V_0\oplus\theta V_1$ is a $\mathbb{Z}_2$ graded super vector space. Note: Since $\theta^2=0$, this implies $\theta\mathrm{d}\theta=-\mathrm{d}\theta\cdot\theta$. However, I wish to know ...
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### Geometric interpretation of Supersymmetry

Is there a geometric interpretation of supersymmetry? I.e., if one has a manifold $\mathcal {M}$, and there are $\mathcal {N}$ SUSY generators, then is there a geometric interpretation of the SUSY ...
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### A good reference for learning about super-differentiation & super-integration?

I've looked at a couple of books for basic information for super-differentiation & super-integration - Rogers Supermanifolds, and Khrennikovs Superanalysis. Unfortunately both books lack a clear ...
Given a Lie algebra $[K_i,K_j]=f_{ij}^k K_k$, and ghost fields satisfying the anticommutation relations $\{c^i,b_j\}=\delta_j^i$, the ghost number operator is then $U=c^ib_i$ (duplicate indices are ...