# Tagged Questions

**0**

votes

**2**answers

174 views

### Matrix algebra as Clifford algebra

Many kinds of Clifford algebras have corresponding sub-algebras of matrix algebras in sense of isomorphism. Say, quaternion, spacetime algebra and also Dirac algebra. Generally, Clifford algebra has ...

**0**

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**1**answer

350 views

### Is the metaplectic group not a matrix group - counterexample

Is the statement below false?
"The metaplectic group Mp2(R) is not a matrix group: it has no faithful finite-dimensional representations."
Possible "counterexample":
Sp(2n,R) is a subgroup of ...

**3**

votes

**1**answer

601 views

### On matrix representations of the Clifford algebras of type $Cl(0,n)$

Can matrix representations of clifford algebras of type Cl(0,n) be found? Specifically for even orders

**0**

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**1**answer

733 views

### Clifford Algebra and Gamma matrices: is this relation generally true for any dimension?

I expect the following relation to be vanishing. But it seems not that obvious.
$\Gamma_{ab}^{\lambda}t^at^b \Gamma_{\lambda c(d)}t^c=0$
where $t^a$ are even ghosts, "$ab$" are indices for matrix ...

**6**

votes

**5**answers

890 views

### Representations of Pin vs. Representations of Clifford

This may be total nonsense. But I need to know the answer quickly and I am too tired to think about it thoroughly. Let $k$ be a positive integer. Roe's "Elliptic Operators" claims that there is a ...