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comment Relationship between Levi-Civita symbol and Grassmann numbers?
Ok. But then isn't the product $\theta_i\theta_j$ a tensor (more precisely a pseudotensor, since it anticommutes)?
1d
comment Relationship between Levi-Civita symbol and Grassmann numbers?
Do I get this right: The notation of a Grassmann number like $\theta_i$ does not imply that $\theta$ is a vector with $i$ components. Instead $\theta_i$ is a scalar number like e.g. the imaginary number $i$, correct? So the product of two Grassmann numbers $\theta_i\theta_j$ is not an outer product of two vectors, but just a product of two scalars.
Jan
17
revised Relationship between Levi-Civita symbol and Grassmann numbers?
Added links
Jan
17
asked Relationship between Levi-Civita symbol and Grassmann numbers?
Jan
15
awarded  Popular Question
Sep
17
awarded  Teacher
Jul
2
awarded  Curious
Apr
30
asked How to generalize the Thue-Morse sequence to more than two symbols?
Apr
10
comment complex numbers and 2x2 matrices
Should we not have $a^2+b^2 \ge 0$, because the absolute value of a complex number cannot be smaller than zero?
Apr
9
comment What does it mean to multiply a real matrix by a complex scalar?
I'm confused about the sentence "Multiplication with a fixed complex number is a linear transformation on this two-dimensional vector space". I thought that a complex number itself (not only the multiplication operation) can be represented as a 2x2 matrix, see en.wikipedia.org/wiki/…. Doesn't that mean that the complex numbers are not a vector space, but a matrix space over the real numbers?
Apr
8
asked What does it mean to multiply a real matrix by a complex scalar?
Feb
13
accepted What is the distribution of destiny numbers
Feb
8
asked What is the distribution of destiny numbers
Jan
2
answered How to prove Euler's formula: $e^{it}=\cos t +i\sin t$?
Oct
27
comment To “subtract” two matrices with different dimensions in Octave (Matlab)
This works also in Octave 3.4
Oct
27
comment To “subtract” two matrices with different dimensions in Octave (Matlab)
In Octave (3.4) this gives an error: a - b error: operator -: nonconformant arguments (op1 is 4x2, op2 is 1x2)
Jul
6
awarded  Editor
Jul
6
revised Does my definition of double complex noncommutative numbers make any sense?
fixed typo
Jul
6
awarded  Informed
Mar
25
awarded  Yearling