Alex 'qubeat'
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 Sep24 awarded Autobiographer Apr30 awarded Yearling Nov29 revised On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$ added 66 characters in body Nov29 revised On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$ improved formatting and notation Nov29 revised On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$ j -> j-1 Nov29 answered On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$ Jul18 comment Irreducible representations of Poincaré group I myself would be glad to know about more general case also ... Jul17 awarded Commentator Jul17 comment Irreducible representations of Poincaré group Is it question about irreducible unitary representations? Jul16 revised Irreducible representations of Poincaré group corrected spelling, added new references Jul15 answered Irreducible representations of Poincaré group Jun27 comment Grassmann numbers as eigenvalues of nilpotent operators? After all, short resume of my answer is rather "no they can't"... Jun27 comment Grassmann numbers as eigenvalues of nilpotent operators? @Greg Graviton: $a$ acts on $|\eta\rangle$, not on $\eta$, but there is standard map $\mathbb C^n \to \Lambda^1 \mathbb C^n$. Jun25 comment Grassmann numbers as eigenvalues of nilpotent operators? @Greg Graviton: An example of the construction: $|\eta\rangle = c_{00} + c_{01}\eta + c_{10}\bar{\eta}+c_{11}\eta\bar{\eta}$, $a|\eta\rangle = c_{00}\eta + c_{01} + c_{10}\eta\bar{\eta}+c_{11}\bar{\eta}$, $\eta|\eta\rangle = c_{00}\eta + c_{10}\eta\bar{\eta}$, so from $a|\eta\rangle = \eta|\eta\rangle$ follows $|\eta\rangle = c_{00} + c_{10}\bar{\eta}$. Jun24 comment Grassmann numbers as eigenvalues of nilpotent operators? I doubt. But Fock space certainly presents there. Anyway, $a$ and $\eta$ are formally different things in my models. Jun24 answered Grassmann numbers as eigenvalues of nilpotent operators? Jun23 comment Grassmann numbers as eigenvalues of nilpotent operators? It seems to me, that description of that stuff, e.g., in "Gauge Fields, Introduction to Quantum Theory, Faddeev and Slavnov" (Translated 1980) is more "comfortable" in comparison with cited book. But, anyway, why "eigenvalues" anticommute with its own operators? Jun22 comment Grassmann numbers as eigenvalues of nilpotent operators? I deleted the comment before read the answer Jun13 comment What is known about functions of type $f(n+1) = f(n)^ {f(n)}$? J.E. Littlewood introduced analogue of the "double arrow" even earlier than Knuth, at 1948 and it is reprinted in a chapter "large numbers" in his "A Mathematician's Miscellany". He even used some idea about numbers like $N_{2.47}$. It is here archive.org/details/mathematiciansmi033496mbp page 100. Jun3 comment Explicitly reconstructing a function from its moments Marty: I also have tried in such a style, but seems OP is searching for something else. Likely, en.wikipedia.org/wiki/Stieltjes_moment_problem is also not appropriate.