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In this paper we introduce Redberry --- an open source computer algebrasystem with native support of tensorial expressions. It provides basic computeralgebra tools (algebraic manipulations, substitutions, basic simplificationsetc.) which are aware of specific features of indexed expressions: contractionsof indices, permutational symmetries, multiple index types etc. Redberrysupports conventional \LaTeX-style input notation for tensorial expressions.The high energy physics package includes tools for Feynman diagramscalculation: Dirac and SU(N) algebra, Levi-Civita simplifications and tools forone-loop calculations in quantum field theory. In the paper we give detailedoverview of Redberry features: from basic manipulations with tensors to realFeynman diagrams calculation, accompanied by many examples. Redberry is writtenin Java 7 and provides convenient Groovy-based user interface inside thehigh-level general purpose programming language environment. Redberry isavailable from http://redberry.cc

Introduction to Redberry: a computer algebra system designed for tensor manipulation