Best software for tensor manipulation?

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SUMMARY

The discussion centers on identifying effective software for tensor manipulation, specifically for tasks involving varying Lagrangians, gauge and supersymmetry transformations, and handling anti-commuting variables. Users express interest in software that can provide group constants for SU(n) and perform operations like AxB + BxA = 0 for cross products of abstract 3-vectors. Mathematica's TensorExpand is highlighted as a notable tool for these purposes, although users seek more personal reviews and experiences with various options.

PREREQUISITES
  • Understanding of tensor algebra and manipulation
  • Familiarity with Lagrangian mechanics
  • Knowledge of gauge and supersymmetry transformations
  • Experience with Mathematica software
NEXT STEPS
  • Research the capabilities of Mathematica's TensorExpand for tensor operations
  • Explore additional tensor manipulation software listed on the Wikipedia page
  • Investigate user reviews and experiences with tensor software tools
  • Learn about the implementation of anti-commuting variables in tensor calculations
USEFUL FOR

Researchers in theoretical physics, mathematicians specializing in algebra, and software developers focused on computational tools for tensor manipulation will benefit from this discussion.

nuclearhead
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Do you know any good software for manipulating tensors: varying Lagrangians, checking gauge and supersymmetry transformations, etc. ? One that could deal with anti-commuting variables would be good too. One that also supplied group constants for SU(n) etc. would also be useful.

I was also looking for some simple software that knew that AxB +BxA = 0 for cross products of abstract 3-vectors but couldn't find any.
 
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Well yeah, but I was hoping for some reviews from people who used them.

I see Mathematica has TensorExpand which is something anyway.
 
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