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# Tag Archives: Number triangles

## Infinigens, the Pascal Triangle, and the Witt and Virasoro Algebras

Infinitesimal Generators, the Pascal Pyramid, and the Witt and Virasoro Algebras: A short set of notes sketching some relationships among infinitesimal generators represented as differential operators and infinite-dimensional matrices, the Pascal triangle / pyramid, conformal transformations, the Witt and Virasoro … Continue reading

Posted in Math
Tagged Associated Laguerre polynomials, Dedekind eta function, Infinitesimal generators, Iterated derivatives, Lie groups and algebra, Lie Witt algebra, Linear fractional transformations, Lower triangular matrices, Mobius transformations, Number triangles, Operator calculus, Pascal triangle, SL2, Vector fields
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## Mathemagical Forests

The set of notes Mathemagical Forests is an expansion of the May notes and discusses some connections between rooted trees, derivative operators, Lagrange inversion, the Legendre transformation, the Faa di Bruno formula, Sheffer sequences and umbral calculus, and the infinite dimensional Witt … Continue reading

Posted in Math
Tagged Cayley, Comtet, Connes-Muscovi, Creation and annihilation operators, Eulerian numbers, Faa di Bruno formula, integer arrays, Iterated derivatives, Lagrange inversion, Legendre transformation, Lie Witt algebra, Number triangles, Operator ordering, Raising and lowering operators, Rooted trees, Sheffer sequences, triangular matrices, Umbral calculus
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