U+29E2 Shuffle Product
U+29E2 was added to Unicode in version 3.2 (2002). It belongs to the block
This character is a Math Symbol and is commonly used, that is, in no specific script.
The glyph is not a composition. It has a Neutral East Asian Width. In bidirectional context it acts as Other Neutral and is not mirrored. In text U+29E2 behaves as Alphabetic regarding line breaks. It has type Other for sentence and Other for word breaks. The Grapheme Cluster Break is Any.
The Wikipedia has the following information about this codepoint:
In mathematics, a shuffle algebra is a Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation.
The shuffle algebra on a finite set is the graded dual of the universal enveloping algebra of the free Lie algebra on the set.
Over the rational numbers, the shuffle algebra is isomorphic to the polynomial algebra in the Lyndon words.
The shuffle product occurs in generic settings in non-commutative algebras; this is because it is able to preserve the relative order of factors being multiplied together - the riffle shuffle permutation. This can be held in contrast to the divided power structure, which becomes appropriate when factors are commutative.
Representations
System | Representation |
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Nº | 10722 |
UTF-8 | E2 A7 A2 |
UTF-16 | 29 E2 |
UTF-32 | 00 00 29 E2 |
URL-Quoted | %E2%A7%A2 |
HTML hex reference | ⧢ |
Wrong windows-1252 Mojibake | â§¢ |
Elsewhere
Complete Record
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3.2 (2002) | |
SHUFFLE PRODUCT | |
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